Question
Download Solution PDFIf one of the roots of the equation x2+ax-b=0 is 1, then what is the value of (a-b)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: The quadratic equation is: x2 + ax - b = 0
One of the roots of this equation is 1.
Concept Used:
For a quadratic equation: x2 + px + q = 0 If r is a root, it satisfies the equation: r2 + pr + q = 0
Substituting r = 1 in the given equation: 12 + a(1) - b = 0
Calculation:
Step 1: Substitute r = 1 into x2 + ax - b = 0. ⇒ 12 + a(1) - b = 0
Step 2: Simplify the equation. ⇒ 1 + a - b = 0
Step 3: Rearrange to find a - b.
⇒ a - b = -1 Conclusion:
∴ The value of (a - b) is -1.
Last updated on Jul 1, 2025
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