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Inequation:
x^2-2*x+12,5>0
(x-4)^2>16-x^2
0,2^(x+1)<=1/25
(-3)*x^2+32*x+31<=(-2)*x^2+35*x+21
Identical expressions
sqrt(x^ two −x− fifty-six)−sqrt(x^ two −25x+ one hundred and thirty-six)< eight sqrt((x+ seven)/(x-8))
square root of (x squared −x−56)− square root of (x squared −25x plus 136) less than 8 square root of ((x plus 7) divide by (x minus 8))
square root of (x to the power of two −x− fifty minus six)− square root of (x to the power of two −25x plus one hundred and thirty minus six) less than eight square root of ((x plus seven) divide by (x minus 8))
√(x^2−x−56)−√(x^2−25x+136)<8√((x+7)/(x-8))
sqrt(x2−x−56)−sqrt(x2−25x+136)<8sqrt((x+7)/(x-8))
sqrtx2−x−56−sqrtx2−25x+136<8sqrtx+7/x-8
sqrt(x²−x−56)−sqrt(x²−25x+136)<8sqrt((x+7)/(x-8))
sqrt(x to the power of 2−x−56)−sqrt(x to the power of 2−25x+136)<8sqrt((x+7)/(x-8))
sqrtx^2−x−56−sqrtx^2−25x+136<8sqrtx+7/x-8
sqrt(x^2−x−56)−sqrt(x^2−25x+136)<8sqrt((x+7) divide by (x-8))
Similar expressions
sqrt(x^2−x−56)−sqrt(x^2−25x+136)<8sqrt((x+7)/(x+8))
sqrt(x^2−x−56)−sqrt(x^2−25x-136)<8sqrt((x+7)/(x-8))
sqrt(x^2−x−56)−sqrt(x^2−25x+136)<8sqrt((x-7)/(x-8))

Solving inequalities/ sqrt(x^2−x−56)−sqrt(x^2−25x+136)<8sqrt((x+7)/(x-8))

sqrt(x^2−x−56)−sqrt(x^2−25x+136)<8sqrt((x+7)/(x-8)) inequation

The solution

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   _____________      _________________         _______
  /  2               /  2                      / x + 7 
\/  x  - x - 56  - \/  x  - 25*x + 136  < 8*  /  ----- 
                                            \/   x - 8

$$- \sqrt{\left(x^{2} - 25 x\right) + 136} + \sqrt{\left(x^{2} - x\right) - 56} < 8 \sqrt{\frac{x + 7}{x - 8}}$$

-sqrt(x^2 - 25*x + 136) + sqrt(x^2 - x - 56) < 8*sqrt((x + 7)/(x - 8))

Solving inequality on a graph

Rapid solution [src]

Or(And(x <= -7, -oo < x), And(18 < x, x < 20))

$$\left(x \leq -7 \wedge -\infty < x\right) \vee \left(18 < x \wedge x < 20\right)$$

((x <= -7)∧(-oo < x))∨((18 < x)∧(x < 20))

Rapid solution 2 [src]

(-oo, -7] U (18, 20)

$$x\ in\ \left(-\infty, -7\right] \cup \left(18, 20\right)$$

x in Union(Interval(-oo, -7), Interval.open(18, 20))

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sqrt(x^2−x−56)−sqrt(x^2−25x+136)<8sqrt((x+7)/(x-8)) inequation

The solution