What are the solutions to the equation (x-1)(x+2)=e ?

The solutions to the equation (x-1)(x+2)=e are x=(-1+sqrt(4e+9))/2 ,x=(-1-sqrt(4e+9))/2

Find the zeros of (x-1)(x+2)=e

The zeros of (x-1)(x+2)=e are x=(-1+sqrt(4e+9))/2 ,x=(-1-sqrt(4e+9))/2

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(x - 1) (x + 2) = e

x = \frac{- 1 + 4 e + 9}{2}, x = \frac{- 1 - 4 e + 9}{2}

Decimal Notation

x = 1.72896 \dots, x = - 2.72896 \dots

Solution steps

(x - 1) (x + 2) = e

Expand

(x - 1) (x + 2) : x^{2} + x - 2

x^{2} + x - 2 = e

Move

e

to the left side

x^{2} + x - 2 - e = 0

Solve with the quadratic formula

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

1^{2} - 4 \cdot 1 \cdot (- 2 - e) = 4 e + 9

x_{1, 2} = \frac{- 1 \pm 4 e + 9}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 4 e + 9}{2 \cdot 1}, x_{2} = \frac{- 1 - 4 e + 9}{2 \cdot 1}

x = \frac{- 1 + 4 e + 9}{2 \cdot 1} : \frac{- 1 + 4 e + 9}{2}

x = \frac{- 1 - 4 e + 9}{2 \cdot 1} : \frac{- 1 - 4 e + 9}{2}

The solutions to the quadratic equation are:

x = \frac{- 1 + 4 e + 9}{2}, x = \frac{- 1 - 4 e + 9}{2}

350000 = - 2200 (t - 14)^{2} + 486430

(r + 3)^{2} - 7 = 7

80 = x^{2}

x^{2} - 9 = 160

- x^{2} - 10 x + 15 = 0

What are the solutions to the equation (x-1)(x+2)=e ?
The solutions to the equation (x-1)(x+2)=e are x=(-1+sqrt(4e+9))/2 ,x=(-1-sqrt(4e+9))/2
Find the zeros of (x-1)(x+2)=e
The zeros of (x-1)(x+2)=e are x=(-1+sqrt(4e+9))/2 ,x=(-1-sqrt(4e+9))/2