Question

73. If a and b are the roots of the equation x-px + then a²+b²=​

Answer 1

(A²+B²)=2AB²

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Answer 2

Answer:

(a²+b²)= (2ab²)

If a and b are the roots of the quadratic equation x² - px + q = 0,

Sum of roots = a+b= -\frac{(-p)}{1}=pa+b=−

1

(−p)

=p

Product of roots = ab= \frac{q}{1}=qab=

1

q

=q

we need to find the value of a²+b².

(a+b)² = a² + b² + 2ab

⇒ p² = a² + b² + 2q

⇒ a² + b² = p² - 2q

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