Solve any maths problem
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- x^{2} = 25
Start from the equation as given.
- x^{2} - 25 = 0
Bring everything to one side and collect like terms so the right-hand side is 0.
- a = 1,\quad b = 0,\quad c = -25
Read off the coefficients of the standard form ax² + bx + c = 0.
- \left(x - 5\right) \left(x + 5\right) = 0
Factor the quadratic into two linear factors.
- x - 5 = 0 \;\Rightarrow\; x = 5
A product is zero only when one of its factors is zero (zero-product property).
- x + 5 = 0 \;\Rightarrow\; x = -5
A product is zero only when one of its factors is zero (zero-product property).
Reveal the answer
x = 5 \quad\text{or}\quad x = -5