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Hi :) I don’t understand the inequality part ... anyone able to help? Thank you :)!

Hi :) I don’t understand the inequality part ... anyone able to help? Thank you :)!-example-1
User Rtpg
by
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1 Answer

2 votes

Completing the square gives


x^2+3x-6=x^2+3x+\frac94-\frac{33}4=\left(x+\frac32\right)^2-\frac{33}4

Then


f(x)=\left(x+\frac32\right)^2-\frac{33}4\ge0-\frac{33}4=-\frac{33}4

and -33/4 = -8.25, so your answer is correct.

User TorukMakto
by
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