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Solve the equation 3x24x5=0...

Solve the equation 3x24x5=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

Correct answer is B

Using the quadratic formula, we have

x=b±b24ac2a

From the equation 3x24x5=0, a = 3, b = -4 and c = -5.

= \frac{4 \pm \sqrt{16 + 60}}{6}

= \frac{4 \pm \sqrt{76}}{6}

= \frac{4 \pm 8.72}{6}

= \frac{4 + 8.72}{6} \text{ or } \frac{4 - 8.72}{6}

= \frac{12.72}{6} \text{ or } \frac{-4.72}{6}

x = \text{2.12 or -0.79}