What is solvefor k,x^2+7k*x-30k>0 ?

The solution to solvefor k,x^2+7k*x-30k>0 is k>-(x^2)/(7x-30);\quad x> 30/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor k,x^2+7k*x-30k>0

solve for

k, x^{2} + 7 k \cdot x - 30 k > 0

k > - \frac{x ^{2}}{7 x - 30}; x > \frac{30}{7}

Solution steps

x^{2} + 7 k x - 30 k > 0

Move

x^{2}

to the right side

7 k x - 30 k > - x^{2}

Factor

7 k x - 30 k : k (7 x - 30)

k (7 x - 30) > - x^{2}

Divide both sides by

7 x - 30; x > \frac{30}{7}

k > - \frac{x ^{2}}{7 x - 30}; x > \frac{30}{7}

x, 3 x - 4 y < - 2

\frac{3 x - 4 + x}{4} < \frac{5 x}{2 + 2}

3 x < x + 14

x, x + y < 4

\frac{x + 1}{2} < - 4

What is solvefor k,x^2+7k*x-30k>0 ?
The solution to solvefor k,x^2+7k*x-30k>0 is k>-(x^2)/(7x-30);\quad x> 30/7