Question

You are solving x²-3x-10=0 using the quadratic formula Simplify the radical numerator and denominator​

Answer 1

Step-by-step explanation:To solve the quadratic equation x² - 3x - 10 = 0 using the quadratic formula, we first identify the values of a, b, and c:

a = 1

b = -3

c = -10

Now, we can apply the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values, we have:

x = (-(-3) ± √((-3)² - 4(1)(-10))) / (2(1))

Simplifying further:

x = (3 ± √(9 + 40)) / 2

x = (3 ± √49) / 2

x = (3 ± 7) / 2

This gives us two possible solutions:

x₁ = (3 + 7) / 2 = 10 / 2 = 5

x₂ = (3 - 7) / 2 = -4 / 2 = -2

Therefore, the solutions to the equation x² - 3x - 10 = 0 are x = 5 and x = -2.