To solve the quadratic equation 25x² + 9 = 45 using square roots, we can follow these steps:
1. Subtract 9 from both sides of the equation to isolate the term with x²:
25x² + 9 - 9 = 45 - 9
25x² = 36
2. Divide both sides by 25 to get x²:
25x² / 25 = 36 / 25
x² = 1.44
3. Take the square root of both sides to find x:
√(x²) = √1.44
x = ±1.2
Therefore, the solutions to the quadratic equation 25x² + 9 = 45 using square roots are:
x = 1.2 or x = -1.2
