What are the solutions to the equation x^2-5/2 x-3/2 =0 ?

The solutions to the equation x^2-5/2 x-3/2 =0 are x=3,x=-1/2

Find the zeros of x^2-5/2 x-3/2 =0

The zeros of x^2-5/2 x-3/2 =0 are x=3,x=-1/2

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x^{2} - \frac{5}{2} x - \frac{3}{2} = 0

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

Decimal Notation

x = 3, x = - 0.5

Solution steps

x^{2} - \frac{5}{2} x - \frac{3}{2} = 0

Multiply both sides by

2

2 x^{2} - 5 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

(- 5)^{2} - 4 \cdot 2 (- 3) = 7

x_{1, 2} = \frac{- ( - 5 ) \pm 7}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 7}{2 \cdot 2}, x_{2} = \frac{- ( - 5 ) - 7}{2 \cdot 2}

x = \frac{- ( - 5 ) + 7}{2 \cdot 2} : 3

x = \frac{- ( - 5 ) - 7}{2 \cdot 2} : - \frac{1}{2}

The solutions to the quadratic equation are:

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

(x - 6)^{2} + 6 = 900

m^{2} + 26 m

5 x^{2} + 20 x + 18

x (x - 9) = 6^{2}

x^{2} - 8 + 16 = 0

What are the solutions to the equation x^2-5/2 x-3/2 =0 ?
The solutions to the equation x^2-5/2 x-3/2 =0 are x=3,x=-1/2
Find the zeros of x^2-5/2 x-3/2 =0
The zeros of x^2-5/2 x-3/2 =0 are x=3,x=-1/2