AP EAMCET · Maths · Quadratic Equation
If \(2 x^2+3 x-2=0\) and \(3 x^2+a x-2=0\) have one common root then the sum of all possible values of \(a\) is
- A \(-3.5\)
- B \(7.5\)
- C \(-7.5\)
- D \(-1.5\)
Answer & Solution
Correct Answer
(B) \(7.5\)
Step-by-step Solution
Detailed explanation
\(2 x^2+3 x-2=0 \quad \Rightarrow x=-2, \frac{1}{2}\) If \(x=-2\) is the common root with \(3 x^2+a x-2=0\) then \(3(-2)^2+a(-2)-2=0 \Rightarrow a=5\) If \(x=\frac{1}{2}\) is the common root with \(3 x^2+a x-2=0\) then…
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