What are the solutions to the equation x^2-13x+56=0 ?

The solutions to the equation x^2-13x+56=0 are x= 13/2+i(sqrt(55))/2 ,x= 13/2-i(sqrt(55))/2

Find the zeros of x^2-13x+56=0

The zeros of x^2-13x+56=0 are x= 13/2+i(sqrt(55))/2 ,x= 13/2-i(sqrt(55))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - 13 x + 56 = 0

x = \frac{13}{2} + i \frac{55}{2}, x = \frac{13}{2} - i \frac{55}{2}

Solution steps

x^{2} - 13 x + 56 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 1 \cdot 56}{2 \cdot 1}

Simplify

(- 13)^{2} - 4 \cdot 1 \cdot 56 : 55 i

x_{1, 2} = \frac{- ( - 13 ) \pm 55 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 55 i}{2 \cdot 1}, x_{2} = \frac{- ( - 13 ) - 55 i}{2 \cdot 1}

x = \frac{- ( - 13 ) + 55 i}{2 \cdot 1} : \frac{13}{2} + i \frac{55}{2}

x = \frac{- ( - 13 ) - 55 i}{2 \cdot 1} : \frac{13}{2} - i \frac{55}{2}

The solutions to the quadratic equation are:

x = \frac{13}{2} + i \frac{55}{2}, x = \frac{13}{2} - i \frac{55}{2}

(2 x - 3) (x + 5) = 7

(40 + x) (20 + x) = 1290

3 (x^{2} - 4) = 2 x^{2} - 1

t, 6 t^{2} + 4 = x

20 - 2 x^{2} - 5 x = 4

What are the solutions to the equation x^2-13x+56=0 ?
The solutions to the equation x^2-13x+56=0 are x= 13/2+i(sqrt(55))/2 ,x= 13/2-i(sqrt(55))/2
Find the zeros of x^2-13x+56=0
The zeros of x^2-13x+56=0 are x= 13/2+i(sqrt(55))/2 ,x= 13/2-i(sqrt(55))/2