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Title: Algebra _ Solving Quadratic Equation by Factorisation Method
Description: Algebra _ Solving Quadratic Equation by Factorisation Method To solve an quadratic equation using factoring : 1 . Transform the equation using standard form in which one side is zero. 2 . Factor the non-zero side. 3 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero). 4 . Solve each resulting equation.
Description: Algebra _ Solving Quadratic Equation by Factorisation Method To solve an quadratic equation using factoring : 1 . Transform the equation using standard form in which one side is zero. 2 . Factor the non-zero side. 3 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero). 4 . Solve each resulting equation.
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Algebra
Solving Quadratic Equation by Factorisation Method
...
9x2 – 16 = 0
Solution :
(3x + 4)(3x4) = 0
x = 4
3
or
4
3
Solve the following quadratic equation by factorisation method
...
( 2x + 3) ( 3x – 7) = 0
Solution :
(2x + 3) ( 3x – 7)
x
= 0
=
3
2
or
7
3
Solve the following quadratic equation by factorisation method
...
( x – 2)2 – 25 = 0
Solution :
(x – 2)2 =
25
x–2 = 5
x = 7 or 3
Solve the following quadratic equation by factorisation method
...
( 2y + 3 )2 = 81
Solution:
2y + 3 = 9
2y + 3 = 9
2y = 6
y
= 3
2y + 3 = 9
2y = 12
y = 6
Solve the following quadratic equation by factorisation method
...
y2 – 5 = 0
Solution:
y2 – 5
2
= 0
y
= 5
y
= 5
Solve the following quadratic equation by factorisation method
...
a2z2 – b2 = 0
Solution:
a2z2
=
b2
z2 =
b2
a2
z =
b
a
Solve the following quadratic equation by factorisation method
...
4y2 + 4y + 1 = 0
Solution:
(2y + 1)2 = 0
y =
1
1
,
2
2
Solve the following quadratic equation by factorisation method
...
3x2 – 5x – 12 = 0
Solution:
3x2 – 9x + 4x –12 = 0
3x(x–3) + 4(x – 3) = 0
( x –3 ) (3x + 4) = 0
x = 3 or x = 4
3
Solve the following quadratic equation by factorisation method
...
Solution:
45 x2 + 7x 3 5
= 0
45 x2 + 12x 5x 3 5
= 0
4x(5 x + 3) (
5 5 x + 3)
= 0
(5 x + 3) (4x
5 )
= 0
x
=
3
5
or x =
5
4
Solve the following quadratic equation by factorisation method
...
2 x2 3x 2 2
= 0
Solution:
2 x2 3x 2 2
= 0
2 x2 4x + x22
= 0
2 x (x 22 ) + 1 (x 2 2 )
= 0
( x – 22 ) (2 x + 1)
= 0
x = 2 2 or
x =
1
2
Solve the following quadratic equation by factorisation method
...
3 ( y2 6) = y ( y + 7 ) 3
Solution:
3(y2 6) = y ( y + 7 ) 3
3y2 18
2y2 7y 15
= y2 + 7y 3
= 0
2y2 10y + 3y 15 = 0
2y (y 5) + 3( y 5) = 0
3
y = 5 or y = 2
(y 5) (2y + 3) = 0
Solve the following quadratic equation by factorisation method
...
8
3x x = 2
Solution:
3x2 – 8 = 2x
3x2 6x + 4x – 8 = 0
3x( x – 2) + 4 (x 2) = 0
(x – 2) (3x + 4) = 0
x= 2
or
4
3
Solve the following quadratic equation by factorisation method
...
x
x–1 +
Solution:
x–1
x
=
1
2 2
x
Put x – 1 = a
1
a + a
2
a +1
a
=
5
2
= 5
2
2a2 – 5a + 2 = 0
(2a – 1) (a – 2) = 0
a
x
x–1
1
= 2 or a = 2
=
1
2
(or)
x
x–1 = 2
x – 1 = 2x (or) x = 2x – 2
x
= 1
(or) x = 2
Solve the following quadratic equation by factorisation method
...
– 3x + 4 = x
Solution:
Square on both sides
3x + 4
= x2
x2 – 3x – 4
= 0
(x – 4)(x + 1) = 0
x
=
4 or x = 1
Solve the following quadratic equation by factorisation method
...
– x (x – 7) = 32
Solution:
Square on both sides
x (x – 7)
= 18
x2 – 7x – 18
= 0
(x – 9)( x + 2) = 0
x
or x = 2
= 9
Solve the following quadratic equation by factorisation method
...
a2 b2 x2 – (a2 + b2) x + 1 = 0
Solution:
a2 b2 x2 – a2x b2 x + 1 = 0
a2 x (b2 x – 1) – 1(b2 x – 1) = 0
(b2x – 1) (a2 x – 1) = 0
1
a2
x =
or
1
b2
Solve the following quadratic equation by factorisation method
...
x–
a
b
Solution:
2
2
=
a
b2
x–
a
b
=
x =
2a
b
a
b
or x = 0
Title: Algebra _ Solving Quadratic Equation by Factorisation Method
Description: Algebra _ Solving Quadratic Equation by Factorisation Method To solve an quadratic equation using factoring : 1 . Transform the equation using standard form in which one side is zero. 2 . Factor the non-zero side. 3 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero). 4 . Solve each resulting equation.
Description: Algebra _ Solving Quadratic Equation by Factorisation Method To solve an quadratic equation using factoring : 1 . Transform the equation using standard form in which one side is zero. 2 . Factor the non-zero side. 3 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero). 4 . Solve each resulting equation.