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Algebra · Quadratic-Equations

Solve x^2 = 25

x^{2} = 25

Lépésről lépésre

  1. x^{2} = 25

    Start from the equation as given.

  2. x^{2} - 25 = 0

    Bring everything to one side and collect like terms so the right-hand side is 0.

  3. a = 1,\quad b = 0,\quad c = -25

    Read off the coefficients of the standard form ax² + bx + c = 0.

  4. \left(x - 5\right) \left(x + 5\right) = 0

    Factor the quadratic into two linear factors.

  5. x - 5 = 0 \;\Rightarrow\; x = 5

    A product is zero only when one of its factors is zero (zero-product property).

  6. x + 5 = 0 \;\Rightarrow\; x = -5

    A product is zero only when one of its factors is zero (zero-product property).

Mutasd meg a választ!
x = 5 \quad\text{or}\quad x = -5