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Fofino [41]
2 years ago
10

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.

Mathematics
1 answer:
Mamont248 [21]2 years ago
8 0

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} \\

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