What are the solutions to the equation x^2-11/4 x+15/8 =0 ?

The solutions to the equation x^2-11/4 x+15/8 =0 are x= 3/2 ,x= 5/4

Find the zeros of x^2-11/4 x+15/8 =0

The zeros of x^2-11/4 x+15/8 =0 are x= 3/2 ,x= 5/4

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x^{2} - \frac{11}{4} x + \frac{15}{8} = 0

x = \frac{3}{2}, x = \frac{5}{4}

Decimal Notation

x = 1.5, x = 1.25

Solution steps

x^{2} - \frac{11}{4} x + \frac{15}{8} = 0

Find Least Common Multiplier of

4, 8 : 8

Multiply by LCM=

8

x^{2} \cdot 8 - \frac{11}{4} x \cdot 8 + \frac{15}{8} \cdot 8 = 0 \cdot 8

Simplify

8 x^{2} - 22 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 8 \cdot 15}{2 \cdot 8}

(- 22)^{2} - 4 \cdot 8 \cdot 15 = 2

x_{1, 2} = \frac{- ( - 22 ) \pm 2}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 22 ) + 2}{2 \cdot 8}, x_{2} = \frac{- ( - 22 ) - 2}{2 \cdot 8}

x = \frac{- ( - 22 ) + 2}{2 \cdot 8} : \frac{3}{2}

x = \frac{- ( - 22 ) - 2}{2 \cdot 8} : \frac{5}{4}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = \frac{5}{4}

x, x^{2} + y^{2} + 4 y + 13 = 6 x

128.8 = 0.006 y^{2} - 0.03 y + 119

- 2 x^{2} = (5 - x) (\frac{2 x - 2}{5})

- 0.62 x^{2} + 2.8 = 0

u^{2} + n + 1 = 0

What are the solutions to the equation x^2-11/4 x+15/8 =0 ?
The solutions to the equation x^2-11/4 x+15/8 =0 are x= 3/2 ,x= 5/4
Find the zeros of x^2-11/4 x+15/8 =0
The zeros of x^2-11/4 x+15/8 =0 are x= 3/2 ,x= 5/4