Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−417,x2=0,x3=417
Alternative Form
x1≈−16.492423,x2=0,x3≈16.492423
Evaluate
x4−17x2×16=0
Multiply the terms
x4−272x2=0
Factor the expression
x2(x2−272)=0
Separate the equation into 2 possible cases
x2=0x2−272=0
The only way a power can be 0 is when the base equals 0
x=0x2−272=0
Solve the equation
More Steps
Evaluate
x2−272=0
Move the constant to the right-hand side and change its sign
x2=0+272
Removing 0 doesn't change the value,so remove it from the expression
x2=272
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±272
Simplify the expression
More Steps
Evaluate
272
Write the expression as a product where the root of one of the factors can be evaluated
16×17
Write the number in exponential form with the base of 4
42×17
The root of a product is equal to the product of the roots of each factor
42×17
Reduce the index of the radical and exponent with 2
417
x=±417
Separate the equation into 2 possible cases
x=417x=−417
x=0x=417x=−417
Solution
x1=−417,x2=0,x3=417
Alternative Form
x1≈−16.492423,x2=0,x3≈16.492423
Show Solution
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