Question

Write x²+ 2x - 8 in the form (x + m )²+n
where m and are integers​

Answer 1

Answer:

(x+1)²-9 m = 1 n = 9

Explanation

Convert to required form: (x+1)²-9 m 1 n = -9 1 m = n = 9

Answer: (x+1)²-9

m=1

n=-9

Answer 2

x² + 2x - 8 = (x + 1)² - 9 which is of the form (x + m)² + n where m = 1 , n = - 9

Given :

The expression x² + 2x - 8

To find :

Write x² + 2x - 8 in the form (x + m)² + n where m and are integers

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is x² + 2x - 8

Step 2 of 2 :

Express in the form (x + m)² + n

$\displaystyle \sf {x}^{2} + 2x - 8$

$\displaystyle \sf = {x}^{2} + 2.x.1 + {1}^{2} - {1}^{2} - 8$

$\displaystyle \sf = {(x + 1)}^{2} -1 - 8$

$\displaystyle \sf = {(x + 1)}^{2} -9$

which is of the form (x + m)² + n where m = 1 , n = - 9

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