TS EAMCET · Maths · Quadratic Equation
When \(b=17\), it is found that the roots of the equation \(x^2+b x+c=0\) are -2 and -15 . If \(\alpha, \beta\) are the roots of the same equation when \(b=13\) then \(|\alpha-\beta|=\)
- A 7
- B 13
- C 17
- D 30
Answer & Solution
Correct Answer
(A) 7
Step-by-step Solution
Detailed explanation
Given quadratic equation \(x^2+b x+c=0\) with \(b=17\) Then, \(x^2+17 x+c=0\) and roots are \(-2 \&-15\). \(\begin{aligned} & \alpha+\beta=\frac{-b}{a}=-17 \\ & \alpha \beta=\frac{c}{a} \\ & -2 \times(-15)=c \\ & c=30 . \end{aligned}\) Quadratic equation is \(x^2+17 x+30=0\).…
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