If roots of x² - 7x + 10 = 0 are multiplied by 3, new equation is?
BPSC 5 Years Past Papers Subject Wise / All — Multiple-choice practice
- A. x² - 25x + 90 = 0
- B. None of these
- C. x² - 23x + 90 = 0
- D. x² - 21x + 90 = 0
Correct answer
x² - 21x + 90 = 0
Explanation
Explanation Given: x² - 7x + 10 = 0 Step 1: Find original roots x² - 7x + 10 = (x - 2)(x - 5) = 0 So roots are 2 and 5 Step 2: Multiply roots by 3 New roots = 2 × 3 = 6, 5 × 3 = 15 Step 3: Form new equation If roots are α and β, equation is x² - (α+β)x + αβ = 0 Here α+β = 6 + 15 = 21 αβ = 6 × 15 = 90 Therefore new equation = x² - 21x + 90 = 0 Last verified on 15-05-2026
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