Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the quadratic formula to solve the equation. x^2+5x−7=0
To solve the quadratic equation x^2 + 5x - 7 = 0 using the quadratic formula, we can follow these steps:
Step 1: Identify the coefficients a, b, and c in the given equation.
Here, a = 1, b = 5, and c = -7.
Step 2: Substitute the values of a, b, and c into the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
Using the values, we get:
x = (-(5) ± √((5)^2 - 4(1)(-7)))/(2(1))
= (-5 ± √(25 + 28))/2
= (-5 ± √(53))/2
Therefore, the solutions for the equation x^2 + 5x - 7 = 0 using the quadratic formula are:
x = (-5 + √(53))/2 and x = (-5 - √(53))/2.