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The roots of quadratic equation that satisfies 12x2=27x12x^2=27x 12x2=27x​are:
Question

The roots of quadratic equation that satisfies 12x2=27x12x^2=27x ​are:

A.

0,34\frac{3}{4}

B.

1, 43\frac{4}{3}

C.

1, 34\frac{3}{4}

D.

0, 94\frac{9}{4}

Correct option is D

Given:

12x227x=012x^2 - 27x = 0

Solution:

Factor out the common term xx:

=> xx (12xx- 27) = 0 

then, 

=> xx = 0,  or  xx = ​2712\frac{27}{12} = 94\frac{9}{4}

=> xx = 0, 94\frac{9}{4}

Thus, the correct answer is (D)

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