Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−21,x2=0,x3=2−2,x4=2+2
Alternative Form
x1=−0.5,x2=0,x3≈0.585786,x4≈3.414214
Evaluate
7x3−8x=2x4−6x
Move the expression to the left side
7x3−8x−(2x4−6x)=0
Subtract the terms
More Steps
Evaluate
7x3−8x−(2x4−6x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
7x3−8x−2x4+6x
Add the terms
More Steps
Evaluate
−8x+6x
Collect like terms by calculating the sum or difference of their coefficients
(−8+6)x
Add the numbers
−2x
7x3−2x−2x4
7x3−2x−2x4=0
Factor the expression
x(1+2x)(4x−2−x2)=0
Separate the equation into 3 possible cases
x=01+2x=04x−2−x2=0
Solve the equation
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Evaluate
1+2x=0
Move the constant to the right-hand side and change its sign
2x=0−1
Removing 0 doesn't change the value,so remove it from the expression
2x=−1
Divide both sides
22x=2−1
Divide the numbers
x=2−1
Use b−a=−ba=−ba to rewrite the fraction
x=−21
x=0x=−214x−2−x2=0
Solve the equation
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Evaluate
4x−2−x2=0
Rewrite in standard form
−x2+4x−2=0
Multiply both sides
x2−4x+2=0
Substitute a=1,b=−4 and c=2 into the quadratic formula x=2a−b±b2−4ac
x=24±(−4)2−4×2
Simplify the expression
More Steps
Evaluate
(−4)2−4×2
Multiply the numbers
(−4)2−8
Rewrite the expression
42−8
Evaluate the power
16−8
Subtract the numbers
8
x=24±8
Simplify the radical expression
More Steps
Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
x=24±22
Separate the equation into 2 possible cases
x=24+22x=24−22
Simplify the expression
x=2+2x=24−22
Simplify the expression
x=2+2x=2−2
x=0x=−21x=2+2x=2−2
Solution
x1=−21,x2=0,x3=2−2,x4=2+2
Alternative Form
x1=−0.5,x2=0,x3≈0.585786,x4≈3.414214
Show Solution
Graph
