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Finger [1]
3 years ago
8

1. Use the quadratic formula to solve the equation. -2x^2+3x+5=0

Mathematics
2 answers:
hram777 [196]3 years ago
8 0
The answer is x= 5/2 or -1
artcher [175]3 years ago
4 0
The formula for the solution is:
x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

In your case: a=-2, b=3, c=5

Replace these in the formula and you'll get:
x_1=\frac{-b + \sqrt{b^2 - 4ac}}{2a}=\frac{-3 + \sqrt{3^2 - 4 \cdot (-2) \cdot 5}}{2 \cdot (-2)}=-1
x_2=\frac{-b - \sqrt{b^2 - 4ac}}{2a}=\frac{-3 - \sqrt{3^2 - 4 \cdot (-2) \cdot 5}}{2 \cdot (-2)}= \frac{5}{2}

So you have two roots:
x1 = -1
x2 = 5/2
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