algebra · worked example

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

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

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

Step-by-step solution

  1. दो ऐसी संख्याएँ ज्ञात करें जिनका गुणनफल 10-10 और योग 33 हो।

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

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

  4. प्रत्येक गुणनखंड को शून्य के बराबर रखें: x=5x = -5 या x=2x = 2

Answer

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

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