What are the solutions to the equation (X-15)^2+(X+4+7)^2=9 ?

The solutions to the equation (X-15)^2+(X+4+7)^2=9 are X=2+isqrt(329/2),X=2-isqrt(329/2)

Find the zeros of (X-15)^2+(X+4+7)^2=9

The zeros of (X-15)^2+(X+4+7)^2=9 are X=2+isqrt(329/2),X=2-isqrt(329/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(X - 15)^{2} + (X + 4 + 7)^{2} = 9

X = 2 + i \frac{329}{2}, X = 2 - i \frac{329}{2}

Solution steps

(X - 15)^{2} + (X + 4 + 7)^{2} = 9

Expand

(X - 15)^{2} + (X + 4 + 7)^{2} : 2 X^{2} - 8 X + 346

2 X^{2} - 8 X + 346 = 9

Move

9

to the left side

2 X^{2} - 8 X + 337 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 \cdot 337}{2 \cdot 2}

Simplify

(- 8)^{2} - 4 \cdot 2 \cdot 337 : 2658 i

X_{1, 2} = \frac{- ( - 8 ) \pm 2 658 i}{2 \cdot 2}

Separate the solutions

X_{1} = \frac{- ( - 8 ) + 2 658 i}{2 \cdot 2}, X_{2} = \frac{- ( - 8 ) - 2 658 i}{2 \cdot 2}

X = \frac{- ( - 8 ) + 2 658 i}{2 \cdot 2} : 2 + i \frac{329}{2}

X = \frac{- ( - 8 ) - 2 658 i}{2 \cdot 2} : 2 - i \frac{329}{2}

The solutions to the quadratic equation are:

X = 2 + i \frac{329}{2}, X = 2 - i \frac{329}{2}

296 = 4 x^{2} + 140 x

C = 200 - 7 x + 0.345 x^{2}

x^{2} = 23 x

s^{2} + 18 s + 100

0 = - x^{2} - x + 3

What are the solutions to the equation (X-15)^2+(X+4+7)^2=9 ?
The solutions to the equation (X-15)^2+(X+4+7)^2=9 are X=2+isqrt(329/2),X=2-isqrt(329/2)
Find the zeros of (X-15)^2+(X+4+7)^2=9
The zeros of (X-15)^2+(X+4+7)^2=9 are X=2+isqrt(329/2),X=2-isqrt(329/2)