Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−47,x2=0,x3=47
Alternative Form
x1≈−0.661438,x2=0,x3≈0.661438
Evaluate
7x2−16x4=0
Factor the expression
x2(7−16x2)=0
Separate the equation into 2 possible cases
x2=07−16x2=0
The only way a power can be 0 is when the base equals 0
x=07−16x2=0
Solve the equation
More Steps
Evaluate
7−16x2=0
Move the constant to the right-hand side and change its sign
−16x2=0−7
Removing 0 doesn't change the value,so remove it from the expression
−16x2=−7
Change the signs on both sides of the equation
16x2=7
Divide both sides
1616x2=167
Divide the numbers
x2=167
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±167
Simplify the expression
More Steps
Evaluate
167
To take a root of a fraction,take the root of the numerator and denominator separately
167
Simplify the radical expression
47
x=±47
Separate the equation into 2 possible cases
x=47x=−47
x=0x=47x=−47
Solution
x1=−47,x2=0,x3=47
Alternative Form
x1≈−0.661438,x2=0,x3≈0.661438
Show Solution
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