Question

y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.
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Answer 1

Answer:

$a=\dfrac{7}{2} \\\\b=\dfrac{49}{4}$

Step-by-step explanation:

$y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4}$