Question
Solve the equation
Solve for x
Solve for l
l=0,x=−43∣l∣1043ll=0,x=43∣l∣1043l
Evaluate
2lx2×43=200
Multiply the terms
86lx2=200
Divide both sides
86l86lx2=86l200
Divide the numbers
x2=86l200
Cancel out the common factor 2
x2=43l100
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±43l100
Simplify the expression
More Steps

Evaluate
43l100
To take a root of a fraction,take the root of the numerator and denominator separately
43l100
Simplify the radical expression
More Steps

Evaluate
100
Write the number in exponential form with the base of 10
102
Reduce the index of the radical and exponent with 2
10
43l10
Multiply by the Conjugate
43l×43l1043l
Calculate
43∣l∣1043l
x=±43∣l∣1043l
Separate the equation into 2 possible cases
x=43∣l∣1043lx=−43∣l∣1043l
Calculate
{l=0x=−43∣l∣1043l{l=0x=43∣l∣1043l
Solution
l=0,x=−43∣l∣1043ll=0,x=43∣l∣1043l
Show Solution
