Question

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Use the quadratic formula to solve x^2+ 9x + 10 = 0.
What are the solutions to the equation?
Round irrational solutions to the nearest tenth.

Answer 1

The solutions of the equations are -1.3 and -7.7

Step-by-step explanation:

The quadratic formula of solving the quadratic equation

ax² + bx + c = 0, where a, b and c are constant is:

$x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$

To solve the quadratic equation by using the quadratic formula

1. Find the values of a , b and c from the equation

2. Substitute the values of a , b and c in the quadratic formula

3. Find the two values of x

∵ x² + 9x + 10 = 0

∴ a = 1 , b = 9 and c = 10

∵ $x=\frac{-9+\sqrt{(9)^{2}-4(1)(10)}}{2(1)}$

∴ $x=\frac{-9+\sqrt{81-40}}{2}$

∴ $x=\frac{-9+\sqrt{41}}{2}$

∴ x = -1.3

∵ $x=\frac{-9-\sqrt{(9)^{2}-4(1)(10)}}{2(1)}$

∴ $x=\frac{-9-\sqrt{81-40}}{2}$

∴ $x=\frac{-9-\sqrt{41}}{2}$

∴ x = -7.7

The solutions of the equations are -1.3 and -7.7

Learn more:

You can learn more about quadratic equation in brainly.com/question/8196933

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