What are the solutions to the equation 2.985=x^2+x+1 ?

The solutions to the equation 2.985=x^2+x+1 are x=(-10+sqrt(894))/(20),x=-(10+sqrt(894))/(20)

Find the zeros of 2.985=x^2+x+1

The zeros of 2.985=x^2+x+1 are x=(-10+sqrt(894))/(20),x=-(10+sqrt(894))/(20)

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2.985 = x^{2} + x + 1

x = \frac{- 10 + 894}{20}, x = - \frac{10 + 894}{20}

Decimal Notation

x = 0.99499 \dots, x = - 1.99499 \dots

Solution steps

2.985 = x^{2} + x + 1

Multiply both sides by

1000

2985 = 1000 x^{2} + 1000 x + 1000

Switch sides

1000 x^{2} + 1000 x + 1000 = 2985

Move

2985

to the left side

1000 x^{2} + 1000 x - 1985 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 \cdot 1000 ( - 1985 )}{2 \cdot 1000}

100 0^{2} - 4 \cdot 1000 (- 1985) = 100894

x_{1, 2} = \frac{- 1000 \pm 100 894}{2 \cdot 1000}

Separate the solutions

x_{1} = \frac{- 1000 + 100 894}{2 \cdot 1000}, x_{2} = \frac{- 1000 - 100 894}{2 \cdot 1000}

x = \frac{- 1000 + 100 894}{2 \cdot 1000} : \frac{- 10 + 894}{20}

x = \frac{- 1000 - 100 894}{2 \cdot 1000} : - \frac{10 + 894}{20}

The solutions to the quadratic equation are:

x = \frac{- 10 + 894}{20}, x = - \frac{10 + 894}{20}

4 x^{2} - 30 x + 50 = 0

y, x = 5 (y + 7) (y - 8)

\frac{4 x - 2}{5} = x^{2} - \frac{2}{3}

1 3^{2} = 5^{2} + b^{2}

5 (a - x)^{2} = x^{2}

What are the solutions to the equation 2.985=x^2+x+1 ?
The solutions to the equation 2.985=x^2+x+1 are x=(-10+sqrt(894))/(20),x=-(10+sqrt(894))/(20)
Find the zeros of 2.985=x^2+x+1
The zeros of 2.985=x^2+x+1 are x=(-10+sqrt(894))/(20),x=-(10+sqrt(894))/(20)