What are the solutions to the equation (13x-2)^2-3(13x-2)-10=0 ?

The solutions to the equation (13x-2)^2-3(13x-2)-10=0 are x= 7/13 ,x=0

Find the zeros of (13x-2)^2-3(13x-2)-10=0

The zeros of (13x-2)^2-3(13x-2)-10=0 are x= 7/13 ,x=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(13 x - 2)^{2} - 3 (13 x - 2) - 10 = 0

x = \frac{7}{13}, x = 0

Decimal Notation

x = 0.53846 \dots, x = 0

Solution steps

(13 x - 2)^{2} - 3 (13 x - 2) - 10 = 0

Expand

(13 x - 2)^{2} - 3 (13 x - 2) - 10 : 169 x^{2} - 91 x

169 x^{2} - 91 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 91 ) \pm ( - 91 ) ^{2} - 4 \cdot 169 \cdot 0}{2 \cdot 169}

(- 91)^{2} - 4 \cdot 169 \cdot 0 = 91

x_{1, 2} = \frac{- ( - 91 ) \pm 91}{2 \cdot 169}

Separate the solutions

x_{1} = \frac{- ( - 91 ) + 91}{2 \cdot 169}, x_{2} = \frac{- ( - 91 ) - 91}{2 \cdot 169}

x = \frac{- ( - 91 ) + 91}{2 \cdot 169} : \frac{7}{13}

x = \frac{- ( - 91 ) - 91}{2 \cdot 169} : 0

The solutions to the quadratic equation are:

x = \frac{7}{13}, x = 0

4 x^{2} = 12 - b x

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

2 (3 x + 1)^{2} - 32 = 0

2 w^{2} - 7 w - 4 = 0

(x + 3)^{2} + 4 (x + 2)^{2} = 2 5^{2}

What are the solutions to the equation (13x-2)^2-3(13x-2)-10=0 ?
The solutions to the equation (13x-2)^2-3(13x-2)-10=0 are x= 7/13 ,x=0
Find the zeros of (13x-2)^2-3(13x-2)-10=0
The zeros of (13x-2)^2-3(13x-2)-10=0 are x= 7/13 ,x=0