Which of the following equations has the sum | vedclass

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(C) For a quadratic equation $ax^2 + bx + c = 0$,the sum of the roots is given by $\frac{-b}{a}$.$(A)$ For $2x^2 - 3x + 6 = 0$,$a=2, b=-3$. Sum of roo

Vedclass · Accepted Answer

$-x^2 + 3x - 3 = 0$

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(C) For a quadratic equation $ax^2 + bx + c = 0$,the sum of the roots is given by $\frac{-b}{a}$.$(A)$ For $2x^2 - 3x + 6 = 0$,$a=2, b=-3$. Sum of roots $= -(-3)/2 = 3/2 = 1.5$.$(B)$ For $\sqrt{2}x^2 - \frac{3}{\sqrt{2}}x + 1 = 0$,multiplying by $\sqrt{2}$ gives $2x^2 - 3x + \sqrt{2} = 0$. Here $a=2, b=-3$. Sum of roots $= -(-3)/2 = 3/2 = 1.5$.$(C)$ For $-x^2 + 3x - 3 = 0$,$a=-1, b=3$. Sum of roots $= -(3)/(-1) = 3$.$(D)$ For $3x^2 - 3x + 3 = 0$,dividing by $3$ gives $x^2 - x + 1 = 0$. Here $a=1, b=-1$. Sum of roots $= -(-1)/1 = 1$.Thus,the equation with the sum of roots equal to $3$ is $-x^2 + 3x - 3 = 0$.

Which of the following equations has the sum of its roots as $3$?

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