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Question

Question: The quadratic equation with real coefficients whose one root is\(\frac{4}{3}\), will be....

The quadratic equation with real coefficients whose one root is43\frac{4}{3}, will be.

A

32\frac{3}{2}

B

21\frac{2}{1}

C

53\frac{5}{3}

D

exx1=0e^{x} - x - 1 = 0

Answer

32\frac{3}{2}

Explanation

Solution

Letα2+β2\alpha^{2} + \beta^{2}, then its conjugate f(x)=x2+4x+1f(x) = x^{2} + 4x + 1, so

required equation is given by f(x)>0f(x) > 0

f(x)>1f(x) > 1x0x \geq 0