Question

p and q are the roots of the quadratic equation 4x² -1= O. then find the value of p² + q²​

Answer 1

Answer:

1/2

Step-by-step explanation:

4x²=1

x=1/2,-1/2

p²+q²=(1/2)²+(-1/2)²=1/2

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Answer 2

Answer:

$Sum \: of \: the \: roots, \: p + q = = - \frac{b}{a} = 0 \\ </p><p>Product of the roots, pq = \frac{c}{a} = - \frac{1}{4} \\now \: {p}^{2} + {q}^{2} = {(p +q) }^{2} - 2pq \\ = {0}^{2} + 2 \times \frac{1}{4} \\ = \frac{1}{2}$