What are the solutions to the equation 49x^2-(35x)/2+21/16 =0 ?

The solutions to the equation 49x^2-(35x)/2+21/16 =0 are x= 1/4 ,x= 3/28

Find the zeros of 49x^2-(35x)/2+21/16 =0

The zeros of 49x^2-(35x)/2+21/16 =0 are x= 1/4 ,x= 3/28

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49 x^{2} - \frac{35 x}{2} + \frac{21}{16} = 0

x = \frac{1}{4}, x = \frac{3}{28}

Decimal Notation

x = 0.25, x = 0.10714 \dots

Solution steps

49 x^{2} - \frac{35 x}{2} + \frac{21}{16} = 0

Find Least Common Multiplier of

2, 16 : 16

Multiply by LCM=

16

49 x^{2} \cdot 16 - \frac{35 x}{2} \cdot 16 + \frac{21}{16} \cdot 16 = 0 \cdot 16

Simplify

784 x^{2} - 280 x + 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 280 ) \pm ( - 280 ) ^{2} - 4 \cdot 784 \cdot 21}{2 \cdot 784}

(- 280)^{2} - 4 \cdot 784 \cdot 21 = 112

x_{1, 2} = \frac{- ( - 280 ) \pm 112}{2 \cdot 784}

Separate the solutions

x_{1} = \frac{- ( - 280 ) + 112}{2 \cdot 784}, x_{2} = \frac{- ( - 280 ) - 112}{2 \cdot 784}

x = \frac{- ( - 280 ) + 112}{2 \cdot 784} : \frac{1}{4}

x = \frac{- ( - 280 ) - 112}{2 \cdot 784} : \frac{3}{28}

The solutions to the quadratic equation are:

x = \frac{1}{4}, x = \frac{3}{28}

100 - 4.9 x^{2} = 0

x^{2} + 28 x - 29 = 0

2 x^{2} - 4 = 4

- 3 x^{2} - 4 x - 20 = 0

(x + 1)^{2} + 4 = 0

What are the solutions to the equation 49x^2-(35x)/2+21/16 =0 ?
The solutions to the equation 49x^2-(35x)/2+21/16 =0 are x= 1/4 ,x= 3/28
Find the zeros of 49x^2-(35x)/2+21/16 =0
The zeros of 49x^2-(35x)/2+21/16 =0 are x= 1/4 ,x= 3/28