What are the solutions to the equation (-1)/2 x^2+11/4 x+3/2 =0 ?

The solutions to the equation (-1)/2 x^2+11/4 x+3/2 =0 are x=-1/2 ,x=6

Find the zeros of (-1)/2 x^2+11/4 x+3/2 =0

The zeros of (-1)/2 x^2+11/4 x+3/2 =0 are x=-1/2 ,x=6

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\frac{- 1}{2} x^{2} + \frac{11}{4} x + \frac{3}{2} = 0

x = - \frac{1}{2}, x = 6

Decimal Notation

x = - 0.5, x = 6

Solution steps

\frac{- 1}{2} x^{2} + \frac{11}{4} x + \frac{3}{2} = 0

Find Least Common Multiplier of

2, 4 : 4

Multiply by LCM=

4

\frac{- 1}{2} x^{2} \cdot 4 + \frac{11}{4} x \cdot 4 + \frac{3}{2} \cdot 4 = 0 \cdot 4

Simplify

- 2 x^{2} + 11 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 ( - 2 ) \cdot 6}{2 ( - 2 )}

1 1^{2} - 4 (- 2) \cdot 6 = 13

x_{1, 2} = \frac{- 11 \pm 13}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 11 + 13}{2 ( - 2 )}, x_{2} = \frac{- 11 - 13}{2 ( - 2 )}

x = \frac{- 11 + 13}{2 ( - 2 )} : - \frac{1}{2}

x = \frac{- 11 - 13}{2 ( - 2 )} : 6

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = 6

x^{2} + 14 x = - 36

63.9 = 21.3 (t^{2} + 2)

x^{2} - 8 x + 3 = 0

5 x^{2} - 25 x = 125

X^{2} + (X + 7)^{2} = 1 3^{2}

What are the solutions to the equation (-1)/2 x^2+11/4 x+3/2 =0 ?
The solutions to the equation (-1)/2 x^2+11/4 x+3/2 =0 are x=-1/2 ,x=6
Find the zeros of (-1)/2 x^2+11/4 x+3/2 =0
The zeros of (-1)/2 x^2+11/4 x+3/2 =0 are x=-1/2 ,x=6