What are the solutions to the equation x^2-1/2 x-3/2 =0 ?

The solutions to the equation x^2-1/2 x-3/2 =0 are x= 3/2 ,x=-1

Find the zeros of x^2-1/2 x-3/2 =0

The zeros of x^2-1/2 x-3/2 =0 are x= 3/2 ,x=-1

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x^{2} - \frac{1}{2} x - \frac{3}{2} = 0

x = \frac{3}{2}, x = - 1

Decimal Notation

x = 1.5, x = - 1

Solution steps

x^{2} - \frac{1}{2} x - \frac{3}{2} = 0

Multiply both sides by

2

2 x^{2} - x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

(- 1)^{2} - 4 \cdot 2 (- 3) = 5

x_{1, 2} = \frac{- ( - 1 ) \pm 5}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 5}{2 \cdot 2}, x_{2} = \frac{- ( - 1 ) - 5}{2 \cdot 2}

x = \frac{- ( - 1 ) + 5}{2 \cdot 2} : \frac{3}{2}

x = \frac{- ( - 1 ) - 5}{2 \cdot 2} : - 1

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - 1

\frac{16 ( x - 8 ) ^{2} + 25 ( \frac{9}{4} )}{400} = 1

4 x^{2} + 5 x + 20 = 0

12 x^{2} + 6 = 17 x

0 = - 4.9 x^{2} + 24.5 x + 9.5

y, y^{2} = 11 y - 28

What are the solutions to the equation x^2-1/2 x-3/2 =0 ?
The solutions to the equation x^2-1/2 x-3/2 =0 are x= 3/2 ,x=-1
Find the zeros of x^2-1/2 x-3/2 =0
The zeros of x^2-1/2 x-3/2 =0 are x= 3/2 ,x=-1