quadratic equations mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024
ibps rrb so officer sclae 2 3 single exam 2024 SYLLABUS WISE SUBJECTS MCQs
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Lcm & Hcf
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Quadratic Equations
One root of $x^2 + kx – 8 = 0$ is square of the other. Then the value of k is
Answer: (d)
Given $x^2$ + kx - 8 = 0
Let a and b be the roots of given equation and b = $a^2$ (given)
Sum of roots = a + b = - k = a + $a^2$ .....(1)
Product of roots = ab = -8 = $a^3$ ⇒ a = - 2
Using a = –2 in (1) , –k = –2 + 4 = 2 or k = –2
If α and β are the roots of the equation $x^2 – 2x + 4$ = 0, then what is the value of $α^3 + β^3$?
Answer: (b)
Use $α^3 + β^3 = (α + β)^3 – 3αβ(α + β)$
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