algebra · worked example

Solve x² + 3x - 10 = 0 — x = -5 or x = 2

Method: fatoração. Verified step-by-step solution with our free AI math solver.
Problem

x2+3x10=0x^2 + 3x - 10 = 0

Step-by-step solution

  1. Encontre dois números cujo produto seja 10-10 e cuja soma seja 33.

  2. Par (5,2)(5, -2): 5(2)=105 \cdot (-2) = -10 ✓, 5+(2)=35 + (-2) = 3 ✓.

  3. Fatore: (x+5)(x2)=0(x + 5)(x - 2) = 0.

  4. Iguale cada fator a zero: x=5x = -5 ou x=2x = 2.

Answer

x=5orx=2x = -5 \quad \text{or} \quad x = 2

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