Question

Solve the quadratic equation using the square root method. Decimals rounded to the hundredths or fractions are accepted. 64=(9x+13)²

Answer 1

To solve this quadratic equation using the square root method, first simplify the equation and then take the square root of both sides. Finally, isolate the variable to find the solution.

Step-by-step explanation:

We can solve this quadratic equation using the square root method. First, let's simplify the equation by expanding the squared term on the right side:

64 = (9x + 13)²

Next, we can take the square root of both sides to eliminate the square:

√64 = √((9x + 13)²)

Simplifying further:

8 = 9x + 13

Subtracting 13 from both sides:

-5 = 9x

Lastly, dividing both sides by 9:

x = -5/9 or approximately -0.56