What are the solutions to the equation x^2-1/2 x-35/16 =0 ?

The solutions to the equation x^2-1/2 x-35/16 =0 are x= 7/4 ,x=-5/4

Find the zeros of x^2-1/2 x-35/16 =0

The zeros of x^2-1/2 x-35/16 =0 are x= 7/4 ,x=-5/4

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x^{2} - \frac{1}{2} x - \frac{35}{16} = 0

x = \frac{7}{4}, x = - \frac{5}{4}

Decimal Notation

x = 1.75, x = - 1.25

Solution steps

x^{2} - \frac{1}{2} x - \frac{35}{16} = 0

Find Least Common Multiplier of

2, 16 : 16

Multiply by LCM=

16

x^{2} \cdot 16 - \frac{1}{2} x \cdot 16 - \frac{35}{16} \cdot 16 = 0 \cdot 16

Simplify

16 x^{2} - 8 x - 35 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 16 ( - 35 )}{2 \cdot 16}

(- 8)^{2} - 4 \cdot 16 (- 35) = 48

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

Separate the solutions

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

x = \frac{- ( - 8 ) + 48}{2 \cdot 16} : \frac{7}{4}

x = \frac{- ( - 8 ) - 48}{2 \cdot 16} : - \frac{5}{4}

The solutions to the quadratic equation are:

x = \frac{7}{4}, x = - \frac{5}{4}

0 = 45 - 16 d + d^{2}

- 0.03 x^{2} - 35 x + 712 = 0

y^{2} - 3 y - 28 = 0

x, (x - 1) (3 x + 2 y - 1) = C

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

What are the solutions to the equation x^2-1/2 x-35/16 =0 ?
The solutions to the equation x^2-1/2 x-35/16 =0 are x= 7/4 ,x=-5/4
Find the zeros of x^2-1/2 x-35/16 =0
The zeros of x^2-1/2 x-35/16 =0 are x= 7/4 ,x=-5/4