What are the solutions to the equation x^2+(63x)/5+101/4 =0 ?

The solutions to the equation x^2+(63x)/5+101/4 =0 are x=-5/2 ,x=-101/10

Find the zeros of x^2+(63x)/5+101/4 =0

The zeros of x^2+(63x)/5+101/4 =0 are x=-5/2 ,x=-101/10

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x^{2} + \frac{63 x}{5} + \frac{101}{4} = 0

x = - \frac{5}{2}, x = - \frac{101}{10}

Decimal Notation

x = - 2.5, x = - 10.1

Solution steps

x^{2} + \frac{63 x}{5} + \frac{101}{4} = 0

Find Least Common Multiplier of

5, 4 : 20

Multiply by LCM=

20

x^{2} \cdot 20 + \frac{63 x}{5} \cdot 20 + \frac{101}{4} \cdot 20 = 0 \cdot 20

Simplify

20 x^{2} + 252 x + 505 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 252 \pm 25 2 ^{2} - 4 \cdot 20 \cdot 505}{2 \cdot 20}

25 2^{2} - 4 \cdot 20 \cdot 505 = 152

x_{1, 2} = \frac{- 252 \pm 152}{2 \cdot 20}

Separate the solutions

x_{1} = \frac{- 252 + 152}{2 \cdot 20}, x_{2} = \frac{- 252 - 152}{2 \cdot 20}

x = \frac{- 252 + 152}{2 \cdot 20} : - \frac{5}{2}

x = \frac{- 252 - 152}{2 \cdot 20} : - \frac{101}{10}

The solutions to the quadratic equation are:

x = - \frac{5}{2}, x = - \frac{101}{10}

35 n^{2} + 22 n + 3 = 0

3 x^{2} + 75 = 150

6 x^{2} - 8 x = 64

(x + 1)^{2} + (x + 1) - 12 = 0

- 3 x^{2} + 21 x - 36 = 0

What are the solutions to the equation x^2+(63x)/5+101/4 =0 ?
The solutions to the equation x^2+(63x)/5+101/4 =0 are x=-5/2 ,x=-101/10
Find the zeros of x^2+(63x)/5+101/4 =0
The zeros of x^2+(63x)/5+101/4 =0 are x=-5/2 ,x=-101/10