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Each root of a quadratic equation $ax^2 + bx + c = 0$ is $2$ more than each of the roots of the equation $3x^2 – 2x = 1$. Find the roots of the quadratic equation $ax^2 + bx + c = 0$.
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Solution
Roots of $3x^2-2x-1=0$ are $-\frac{1}{3}, 1$ (1+1 Mark)
Roots of the quadratic equation $ax^2+bx+c=0$ are $\frac{5}{3}$ and $3$ (1/2+1/2 Mark)
Roots of $3x^2-2x-1=0$ are $-\frac{1}{3}, 1$ (1+1 Mark)
Roots of the quadratic equation $ax^2+bx+c=0$ are $\frac{5}{3}$ and $3$ (1/2+1/2 Mark)