# Solve the Following Quadratic Equation by Using Formula Method : 2x2 - 3x = 2 - Algebra

Sum

Solve the following quadratic equation by using formula method :

2x2 - 3x = 2

#### Solution

2x2 - 3x = 2

2x2 - 3x - 2 = 0

a = 2, b = -3, c = -2

By Formula method,

x = (-b +-sqrt(b^2 - 4ac))/(2a)

= (3+-sqrt(9-4(2)(-2)))/(2(2))

= (3+-sqrt(9+16))/4

= (3 +-5)/4

x = (3+5)/4   or x = (3-5)/4

∴ x = 2, (-1)/2

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