Solve the equation. x3−8=x−2

jernplate8

jernplate8

Answered

2021-09-29

Solve the equation.
x38=x2

Answer & Explanation

cyhuddwyr9

cyhuddwyr9

Expert

2021-09-30Added 90 answers

Step 1
Consider the given equation.
x38=x2
Step 2
On solving above equation,
x38x+2=0
x3x6=0
Step 3
Since, the one factor of this equation is (x – 2), so
x3x6x2
x2+2x+3
Step 4
Now, solving the above quadratic equation
x2+2x+3=0
Step 5
Formula used:
x=b±b24ac2a
Step 6
Therefore,
x=2±224×1×32×1
x=2±4122
x=2±82
x=2±2i22
x=1±i2
Step 7
Answer: The factors of the equation is equal to
2,1+i2,1i2

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