algebra · worked example

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

Method: التحليل إلى عوامل. Verified step-by-step solution with our free AI math solver.
Problem

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

Step-by-step solution

  1. أوجد عددين حاصل ضربهما 10-10 ومجموعهما 33.

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

  3. حلّل إلى عوامل: (x+5)(x2)=0(x + 5)(x - 2) = 0.

  4. اجعل كل عامل يساوي صفرًا: x=5x = -5 أو x=2x = 2.

Answer

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

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