Question 60

If a and b are the roots of the equation $$x^2 - 6x + 6 = 0$$, then the value of $$a^2 + b^2$$ is

Solution

Equation : $$x^2 - 6x + 6 = 0$$

Sum of roots = $$a+b=6$$ and Product of roots = $$ab=6$$ --------------(i)

Now, squaring both sides, => $$(a+b)^2=(6)^2$$

=> $$a^2+b^2+2ab=36$$

=> $$(a^2+b^2)+2(6)=36$$

=> $$(a^2+b^2)=36-12=24$$

=> Ans - (B)

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