Solve algebraically : 5x^2/2=2(x-2)

## Solve algebraically : 5x^2/2=2(x-2)

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# 1 Answer

5x^2/2 = 2(x-2)

Multiply both sides by 2, yields:

5x^2 = 4(x-2)

Distribute the 4, yields:

5x^2 = 4x-8

draw all terms to left side, yields:

5x^2 + (-4)x + 8 = 0

a = 5; b = -4; c = 8

Apply Quadratic Formula:

[-b ± (b^2 - 4ac)^(1/2)] / (2a)