The Quadratic Formula 7:Solving Quadratic Equations

Mathematics

1 answer:

Margaret [11]3 years ago

7 0

Answer:

B. 1.14, -0.77

Step-by-step explanation:

As you know the quadratic formula gives you the solution to

ax² + bx + c = 0

as ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, we have a=8, b=-3, c=-7, so the formula tells us the solution is ...

$x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(8)(-7)}}{2(8)}=\dfrac{3\pm\sqrt{233}}{16}\\\\x\approx \{-0.7665,1.1415\} \qquad\text{matches choice B}$

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