Question
Solve the equation
x=1070
Alternative Form
x≈0.83666
Evaluate
5x∣2x∣=7
Separate the equation into 2 possible cases
5x×2x=7,2x≥05x(−2x)=7,2x<0
Evaluate
More Steps
Evaluate
5x×2x=7
Calculate
10x×x=7
Expand the expression
10x2=7
Divide both sides
1010x2=107
Divide the numbers
x2=107
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±107
Simplify the expression
More Steps
Evaluate
107
To take a root of a fraction,take the root of the numerator and denominator separately
107
Multiply by the Conjugate
10×107×10
Multiply the numbers
10×1070
When a square root of an expression is multiplied by itself,the result is that expression
1070
x=±1070
Separate the equation into 2 possible cases
x=1070x=−1070
x=1070x=−1070,2x≥05x(−2x)=7,2x<0
Evaluate
x=1070x=−1070,x≥05x(−2x)=7,2x<0
Evaluate
More Steps
Evaluate
5x(−2x)=7
Calculate
−10x×x=7
Expand the expression
−10x2=7
Since the left-hand side is always negative or 0,and the right-hand side is always positive,the statement is false for any value of x
x∈/R
x=1070x=−1070,x≥0x∈/R,2x<0
Evaluate
x=1070x=−1070,x≥0x∈/R,x<0
Find the intersection
x=1070x∈/R,x<0
Find the intersection
x=1070x∈/R
Solution
x=1070
Alternative Form
x≈0.83666
Show Solution