What are the solutions to the equation 196x^2-196x+449=0 ?

The solutions to the equation 196x^2-196x+449=0 are x= 1/2+i 10/7 ,x= 1/2-i 10/7

Find the zeros of 196x^2-196x+449=0

The zeros of 196x^2-196x+449=0 are x= 1/2+i 10/7 ,x= 1/2-i 10/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

196 x^{2} - 196 x + 449 = 0

x = \frac{1}{2} + i \frac{10}{7}, x = \frac{1}{2} - i \frac{10}{7}

Solution steps

196 x^{2} - 196 x + 449 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 196 ) \pm ( - 196 ) ^{2} - 4 \cdot 196 \cdot 449}{2 \cdot 196}

Simplify

(- 196)^{2} - 4 \cdot 196 \cdot 449 : 560 i

x_{1, 2} = \frac{- ( - 196 ) \pm 560 i}{2 \cdot 196}

Separate the solutions

x_{1} = \frac{- ( - 196 ) + 560 i}{2 \cdot 196}, x_{2} = \frac{- ( - 196 ) - 560 i}{2 \cdot 196}

x = \frac{- ( - 196 ) + 560 i}{2 \cdot 196} : \frac{1}{2} + i \frac{10}{7}

x = \frac{- ( - 196 ) - 560 i}{2 \cdot 196} : \frac{1}{2} - i \frac{10}{7}

The solutions to the quadratic equation are:

x = \frac{1}{2} + i \frac{10}{7}, x = \frac{1}{2} - i \frac{10}{7}

2 x + 1 = 8 x^{2}

x^{2} - 6 x + 1 = 161

35 x^{2} - 26 x - 16 = 0

x = - x^{2} + 30

16 x^{2} = 34 x - 15

What are the solutions to the equation 196x^2-196x+449=0 ?
The solutions to the equation 196x^2-196x+449=0 are x= 1/2+i 10/7 ,x= 1/2-i 10/7
Find the zeros of 196x^2-196x+449=0
The zeros of 196x^2-196x+449=0 are x= 1/2+i 10/7 ,x= 1/2-i 10/7