Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
Solve the inequality by testing the values in the interval
Solve for x
x∈∅
Alternative Form
No solution
Evaluate
−6x−17>8x2×5
Multiply the terms
−6x−17>40x2
Move the expression to the left side
−6x−17−40x2>0
Rewrite the expression
−6x−17−40x2=0
Add or subtract both sides
−6x−40x2=17
Divide both sides
−40−6x−40x2=−4017
Evaluate
203x+x2=−4017
Add the same value to both sides
203x+x2+16009=−4017+16009
Simplify the expression
(x+403)2=−1600671
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
There are no key numbers,so choose any value to test,for example x=0
x=0
Solution
More Steps
Evaluate
−6×0−17>40×02
Any expression multiplied by 0 equals 0
0−17>40×02
Removing 0 doesn't change the value,so remove it from the expression
−17>40×02
Simplify
More Steps
Evaluate
40×02
Calculate
40×0
Any expression multiplied by 0 equals 0
0
−17>0
Check the inequality
false
x∈∅
Alternative Form
No solution
Show Solution
