What are the solutions to the equation 7+4x-x^2=0 ?

The solutions to the equation 7+4x-x^2=0 are x=2-sqrt(11),x=2+sqrt(11)

Find the zeros of 7+4x-x^2=0

The zeros of 7+4x-x^2=0 are x=2-sqrt(11),x=2+sqrt(11)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7 + 4 x - x^{2} = 0

x = 2 - 11, x = 2 + 11

Decimal Notation

x = - 1.31662 \dots, x = 5.31662 \dots

Solution steps

7 + 4 x - x^{2} = 0

Write in the standard form

a x^{2} + b x + c = 0

- x^{2} + 4 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 ( - 1 ) \cdot 7}{2 ( - 1 )}

4^{2} - 4 (- 1) \cdot 7 = 211

x_{1, 2} = \frac{- 4 \pm 2 11}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 4 + 2 11}{2 ( - 1 )}, x_{2} = \frac{- 4 - 2 11}{2 ( - 1 )}

x = \frac{- 4 + 2 11}{2 ( - 1 )} : 2 - 11

x = \frac{- 4 - 2 11}{2 ( - 1 )} : 2 + 11

The solutions to the quadratic equation are:

x = 2 - 11, x = 2 + 11

2 x^{2} = 28 - x

8 f^{2} + 8 f + 2 = 0

4 x^{2} - 30 x + 72 = 0

- x^{2} + 16 x = 0

x, x^{2} + 14 x + 34 = 1

What are the solutions to the equation 7+4x-x^2=0 ?
The solutions to the equation 7+4x-x^2=0 are x=2-sqrt(11),x=2+sqrt(11)
Find the zeros of 7+4x-x^2=0
The zeros of 7+4x-x^2=0 are x=2-sqrt(11),x=2+sqrt(11)