How to solve 3p^2-2p-5 step by step without splitting the middle term

1 answer:

3 0

$3p^2-2p-5= \\\\ a=3 \\ b=-2 \\ c=-5 \\\\ \Delta=(-2)^2-4*3*(-5) =4+60\to\boxed{64} \\\\ x_1;x_2=\frac{-(-2) +/- \sqrt{64}}{2*3} \\\\ x_1;x_2=\frac{2 +/-8}{6} \\\\ x_1=\frac{2+8}{6}=\frac{10}{6}\to\boxed{\frac{5}{3}} \\\\ x_2=\frac{2-8}{6}=\frac{-6}{6}\to\boxed{-1} \\\\ 3p^2-2p-5=(x-\frac{5}{3})(x+1)$

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Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

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