Question

Best answer gets a medal! Solve the quadratic equation for it's exact value by using the square root principle

4x^2-13=0

Answer 1

Do a number line to help ...

Answer 2

Simplifying
4x2 + -13 = 0

Reorder the terms:
-13 + 4x2 = 0

Solving
-13 + 4x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + 4x2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 4x2 = 0 + 13
4x2 = 0 + 13

Combine like terms: 0 + 13 = 13
4x2 = 13

Divide each side by '4'.
x2 = 3.25

Simplifying
x2 = 3.25

Take the square root of each side:
x = {-1.802775638, 1.802775638}