Question
Download Solution PDFFind x, if √(2x+9)+x=13:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
√(2x+9)+x=13
Formula used:
Isolate the square root term and then square both sides to eliminate the square root.
Calculation:
√(2x+9) = 13 - x
Square both sides:
⇒ (√{2x+9})2 = (13 - x)2
⇒ 2x + 9 = 169 - 26x + x2
Rearrange the equation:
⇒ x2 - 28x + 160 = 0
Factorize the quadratic equation:
⇒ (x - 20)(x - 8) = 0
So, x = 20 or x = 8
Last updated on May 10, 2025
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