Question on: JAMB Mathematics - 2024
Solve the equation \(3x^2 - 4x - 5 = 0\).
A
x = 1.75 or − 0.15
B
x = 2.12 or − 0.79
C
x = 1.5 or − 0.34
D
x = 2.35 or −1.23
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Correct Option: B
Use the quadratic formula:
\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]
Here, \(a = 3\), \(b = -4\), \(c = -5\).
\[ x = \frac{4 \pm \sqrt{16 + 60}}{6} = \frac{4 \pm \sqrt{76}}{6} \]
Thus the solutions are:
\[ x = \frac{4 + \sqrt{76}}{6}, \quad x = \frac{4 - \sqrt{76}}{6} \]
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