What are the solutions to the equation x^2-3x+37/16 =0 ?

The solutions to the equation x^2-3x+37/16 =0 are x= 3/2+i 1/4 ,x= 3/2-i 1/4

Find the zeros of x^2-3x+37/16 =0

The zeros of x^2-3x+37/16 =0 are x= 3/2+i 1/4 ,x= 3/2-i 1/4

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x^{2} - 3 x + \frac{37}{16} = 0

x = \frac{3}{2} + i \frac{1}{4}, x = \frac{3}{2} - i \frac{1}{4}

Solution steps

x^{2} - 3 x + \frac{37}{16} = 0

Multiply both sides by

16

16 x^{2} - 48 x + 37 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 48 ) \pm ( - 48 ) ^{2} - 4 \cdot 16 \cdot 37}{2 \cdot 16}

Simplify

(- 48)^{2} - 4 \cdot 16 \cdot 37 : 8 i

x_{1, 2} = \frac{- ( - 48 ) \pm 8 i}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- ( - 48 ) + 8 i}{2 \cdot 16}, x_{2} = \frac{- ( - 48 ) - 8 i}{2 \cdot 16}

x = \frac{- ( - 48 ) + 8 i}{2 \cdot 16} : \frac{3}{2} + i \frac{1}{4}

x = \frac{- ( - 48 ) - 8 i}{2 \cdot 16} : \frac{3}{2} - i \frac{1}{4}

The solutions to the quadratic equation are:

x = \frac{3}{2} + i \frac{1}{4}, x = \frac{3}{2} - i \frac{1}{4}

8 x^{2} - 19 = 15

3 x^{2} - 2.2 + 5 x = 0

1000000 = 25 t^{2} + 72 t + 100

- 2 x^{2} + 24 = 8 x

7 x^{2} - 1 = - 2 x

What are the solutions to the equation x^2-3x+37/16 =0 ?
The solutions to the equation x^2-3x+37/16 =0 are x= 3/2+i 1/4 ,x= 3/2-i 1/4
Find the zeros of x^2-3x+37/16 =0
The zeros of x^2-3x+37/16 =0 are x= 3/2+i 1/4 ,x= 3/2-i 1/4