TS EAMCET · Maths · Quadratic Equation
If the quadratic equations \(3 x^2-7 x+2=0\) and \(k x^2+7 x-3=0\) have a common root then the positive value of \(k\) is
- A 6
- B \(11 / 4\)
- C 4
- D \(7 / 2\)
Answer & Solution
Correct Answer
(A) 6
Step-by-step Solution
Detailed explanation
Let \(\alpha\) be the common root of the equation \(3 x^2-7 x+2=0\) and \(k x^2+7 x-3=0\), so \(3 \alpha^2-7 \alpha+2=0\) \(\ldots\) (i) and \(\quad k \alpha^2+7 \alpha-3=0\) \(\ldots\) (ii) By cross multiplication, we get…
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