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Question
Find the roots of the quadratic equation by using the quadratic formula in the following:
–3x2 + 5x + 12 = 0
Solution
The quadratic formula for finding the roots of quadratic equation
ax2 + bx + c = 0, a ≠ 0 is given by,
x = `(-b +- sqrt(b^2 - 4ac))/(2a)`
∴ x = `(-5 +- sqrt(5^2 - 4(-3)(12)))/(2(-3))`
= `(-5 +- sqrt(169))/(-6)`
= `(5 +- 13)/6`
= `3, -4/3`
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