Solve the equation. Round to the nearest hundredth if necessary.
x^2 + 5x - 10 = 0
We can solve for x by using the quadratic formula. The quadratic formula states that for any equation in the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For our equation x^2 + 5x - 10 = 0, we have a = 1, b = 5, and c = -10. Substituting these values into the quadratic formula, we get:
x = (-5 ± √(5^2 - 4(1)(-10))) / (2(1))
x = (-5 ± √(25 + 40)) / 2
x = (-5 ± √(65)) / 2
Rounded to the nearest hundredth, the solutions are:
x ≈ (-5 + √65) / 2 ≈ 0.82
x ≈ (-5 - √65) / 2 ≈ -5.82
So the solutions to the equation x^2 + 5x - 10 = 0 are approximately x ≈ 0.82 and x ≈ -5.82.