Question

The Equation is: 2(x+3/4)² - 5 = 123

Answer 1

To solve the quadratic equation 2(x+3/4)² - 5 = 123, we can use the quadratic formula to find the possible values of x.

Step-by-step explanation:

This is a quadratic equation that can be solved using the quadratic formula. The equation is: 2(x+3/4)² - 5 = 123.

First, we can simplify the equation by expanding the square: 2(x+3/4)(x+3/4) - 5 = 123.

Next, we can multiply out the terms and combine like terms: 2(x² + 3/2x + 9/16) - 5 = 123.

This can be simplified further: 2x² + 3x + 9/8 - 5 = 123.

Now, we can combine like terms: 2x² + 3x + 1/8 = 123.

Finally, we can move the constant term to the other side of the equation: 2x² + 3x = 123 - 1/8.

Now we are left with a quadratic equation that equals 0: 2x² + 3x - 123 + 1/8 = 0.

We can use the quadratic formula to solve for the two possible values of x.