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Alenkasestr [34]
3 years ago
6

.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

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

#LearnwithBrainly

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