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Use the quadratic formula to solve x^2 + 9x + 10 = 0. Estimate irrational solutions to the nearest tenth.

A {–3.6, 16.4}
B {–7.7, –1.3}
C {–25, 16}
D {–15.4, –2.6}

2 Answers

2 votes

x^(2) + 9x + 10 = 0 \\x = \frac{-(9) +/- \sqrt{(9)^(2) - 4(1)(10)}}{2(1)} \\x = (-9 +/- √(81 - 40))/(2) \\x = (-9 +/- √(41))/(2) \\x = (-9 +/- 6.4)/(2) \\x = (-9 + 6.4)/(2) \\x = (-2.6)/(2) \\x = -1.3 \\ \\x = (-9 - 6.4)/(2) \\x = (-15.4)/(2) \\x = -7.7

It is equal to B.
User Bids
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8.6k points
4 votes
Basically, just plus your numbers into quadratic formula. A= 1, B= 9, C= 10.
The answer you will get is B.
User Chazy Chaz
by
7.8k points

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