TS EAMCET · Maths · Quadratic Equation
If then the interval of maximum length in which lies is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given y=x2+14x+9x2+2x+3 ⇒y(x2+2x+3)=x2+14x+9 ⇒(y-1)x2+2(y-7)x+3y-9=0 We know that for real values of x, D≥0 ⇒4(y-7)2-4(y-1)(3y-9)≥0 ⇒−2y2−2y+40≥0 ⇒y2+y−20≤0 ⇒y2+5y−4y−20≤0…
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