Solve x^2+x+3=20/4

Evaluate

x^{2} + x + 3 = \frac{20}{4}

Divide the terms

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x^{2} + x + 3 = 5

Move the expression to the left side

x^{2} + x - 2 = 0

Factor the expression

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(x - 1) (x + 2) = 0

When the product of factors equals 0,at least one factor is 0

x - 1 = 0 x + 2 = 0

Solve the equation for x

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x = 1 x + 2 = 0

Solve the equation for x

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x = 1 x = - 2

Solution

x_{1} = - 2, x_{2} = 1

Solve the quadratic equation