Solve Quadratic Equation x^2 + 6x - 5 = 0 Using Quadratic Formula

Published on May 31, 2026

Algebra

Learn how to solve the quadratic equation x^2 + 6x - 5 = 0 by applying the quadratic formula and simplifying the result to find the exact values for x.

Question

x^2+6x-5 solve for x

Answer

To solve the equation

for

, we can use the quadratic formula.

The general form of a quadratic equation is

. In this case:

Step 1: Use the Quadratic Formula

The quadratic formula is:

Step 2: Substitute the values into the formula

Step 3: Simplify the expression inside the square root (the discriminant)

Step 4: Simplify the square root

We can simplify

by finding its perfect square factors:

Substitute this back into the equation:

Step 5: Divide by the denominator

Divide both terms in the numerator by 2:

Final Answer:
The solutions for

are:

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