Solve the Equation: x²/25 - 1 = 0 Step by Step

$\frac{x^2}{25}-1=0$

To solve the equation $\frac{x^2}{25} - 1 = 0$, we'll follow these steps:

• Step 1: Rewrite the equation to isolate the quadratic term. Add 1 to both sides to get:

$\frac{x^2}{25} = 1$

• Step 2: Eliminate the fraction by multiplying both sides by 25:

$x^2 = 25$

• Step 3: Solve for $x$ by taking the square root of both sides. Remember to consider both the positive and negative roots:

$x = \pm \sqrt{25}$

• Step 4: Since $\sqrt{25} = 5$, the solutions to the equation are:

$x = 5$ or $x = -5$

Therefore, the solution to the problem is $x = \pm 5$.