Question

Use the quadratic formula to solve x² + 9x + 10 = 0. What are the solutions to the equation?

Answer 1

Answer:

$-1.30\ and\ -7.70$ (2 decimal places)

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

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$x^2+9x+10=0$

Plug in values:

$x=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}$

First value of x:

$x=\frac{-9+\sqrt{41}}{2}=-1.30$ (2 decimal places)

Second value of x:

$x=\frac{-9-\sqrt{41}}{2}=-7.70$ (2 decimal places)