factorise: x²- 14x - 32
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Step-by-step explanation:
Please note that to make it a perfect square you need to add and subtract a numerical.
x² + 14 x = 32
The equation can also be written as
x² + 2 * 7 x = 32 (As the Standard form is a² +2ab + b² = 0)
Now adding 49 to both sides (As 49 is the square of other number 7)
x² + 14 x + 49 = 32 + 49
This can also be written as
(x + 7)² = 81
√(x + 7)² = √81
Taking Square roots of both sides
(x + 7) = ± 9
This means
Either (x + 7) = + 9 or (x + 7) = - 9
Therefore,
x = 9 – 7 or x = - 9 - 7
x = 2 or x = - 16
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