What are the solutions to the equation x^2-44x=-3.84 ?

The solutions to the equation x^2-44x=-3.84 are x=(2(55+sqrt(3001)))/5 ,x=(2(55-sqrt(3001)))/5

Find the zeros of x^2-44x=-3.84

The zeros of x^2-44x=-3.84 are x=(2(55+sqrt(3001)))/5 ,x=(2(55-sqrt(3001)))/5

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x^{2} - 44 x = - 3.84

x = \frac{2 ( 55 + 3001 )}{5}, x = \frac{2 ( 55 - 3001 )}{5}

Decimal Notation

x = 43.91255 \dots, x = 0.08744 \dots

Solution steps

x^{2} - 44 x = - 3.84

Multiply both sides by

100

100 x^{2} - 4400 x = - 384

Move

384

to the left side

100 x^{2} - 4400 x + 384 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4400 ) \pm ( - 4400 ) ^{2} - 4 \cdot 100 \cdot 384}{2 \cdot 100}

(- 4400)^{2} - 4 \cdot 100 \cdot 384 = 803001

x_{1, 2} = \frac{- ( - 4400 ) \pm 80 3001}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 4400 ) + 80 3001}{2 \cdot 100}, x_{2} = \frac{- ( - 4400 ) - 80 3001}{2 \cdot 100}

x = \frac{- ( - 4400 ) + 80 3001}{2 \cdot 100} : \frac{2 ( 55 + 3001 )}{5}

x = \frac{- ( - 4400 ) - 80 3001}{2 \cdot 100} : \frac{2 ( 55 - 3001 )}{5}

The solutions to the quadratic equation are:

x = \frac{2 ( 55 + 3001 )}{5}, x = \frac{2 ( 55 - 3001 )}{5}

x^{2} + 0.1 x - 4.62 = 0

- 8 x + 4 x^{2} = - 4 - 2 x

r^{2} - 2 r - 15 = 0

- 2 x^{2} - 8 x - 14 = - 6

2 x^{2} - 7 x = - 6

What are the solutions to the equation x^2-44x=-3.84 ?
The solutions to the equation x^2-44x=-3.84 are x=(2(55+sqrt(3001)))/5 ,x=(2(55-sqrt(3001)))/5
Find the zeros of x^2-44x=-3.84
The zeros of x^2-44x=-3.84 are x=(2(55+sqrt(3001)))/5 ,x=(2(55-sqrt(3001)))/5