algebra · worked example

Solve x² - 5x + 4 = 0 — x = 1 or x = 4

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

x25x+4=0x^2 - 5x + 4 = 0

Step-by-step solution

  1. दो ऐसी संख्याएँ ज्ञात करें जिनका गुणनफल 44 और योग 5-5 हो।

  2. दोनों ऋणात्मक (गुणनफल धनात्मक, योग ऋणात्मक): (1,4)(-1, -4)

  3. गुणनखंड करें: (x1)(x4)=0(x - 1)(x - 4) = 0

  4. हल करें: x=1x = 1 या x=4x = 4

Answer

x=1orx=4x = 1 \quad \text{or} \quad x = 4

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