Question

Put 5x^2+7x-3 in the form a(x+h)+k

My answer (x+7/10)^2-109/20.

I need help finding the a value.

Answer 1

\(\large 5x^2+7x-3 \)
\(\large =5[x^2+\frac{7}{5}x]-3 \)
\(\large =5[x^2+\frac{7}{5}x+\frac{49}{100}-\frac{49}{100}]-3 \)
\(\large =5[(x^2+\frac{7}{5}x+\frac{49}{100})-\frac{49}{100}]-3 \)
\(\large =5[(x+\frac{7}{10})^2-\frac{49}{100}]-3 \)
\(\large =5(x+\frac{7}{10})^2-5\cdot\frac{49}{100}-3 \)
\(\large =5(x+\frac{7}{10})^2-\frac{49}{20}-\frac{60}{20} \)
\(\large =5(x+\frac{7}{10})^2-\frac{109}{20} \)

so your "a" value should be 5