What's the answer to the picture above

Mathematics

1 answer:

Arada [10]3 years ago

6 0

The answer to the question is c. 43

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What is a plane in geometry

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Find the sum and product of the roots. 2x^2 + 6x - 8 = 0

netineya [11]

Suppose you can factorize:

$ax^2+bx+c=a(x-r_1)(x-r_2)$

Then by expanding the right side, you have

$ax^2+bx+c=a(x^2-(r_1+r_2)x+r_1r_2)=ax^2-a(r_1+r_2)x+ar_1r_2$

which means in this case, you have to have

$\begin{cases}6=-2(r_1+r_2)\\-8=2r_1r_2\end{cases}\implies\begin{cases}r_1+r_2=-3\\r_1r_2=-4\end{cases}$