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
The quadratic equation can be solved using the quadratic formula:
$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
Where $a = 3$, $b = -4$, and $c = -5$ in the equation $3x^2 - 4x - 5 = 0$.
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Substitute the values into the formula: $x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4(3)(-5)}}{2(3)}$
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Simplify the expression: $x = \frac{4 \pm \sqrt{16 + 60}}{6}$ $x = \frac{4 \pm \sqrt{76}}{6}$
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