Question
Solve the equation
Solve for x
Solve for k
k=0,x=−30∣k∣10kk=0,x=30∣k∣10k
Evaluate
10x2×9k=1
Multiply the terms
90x2k=1
Rewrite the expression
90kx2=1
Divide both sides
90k90kx2=90k1
Divide the numbers
x2=90k1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±90k1
Simplify the expression
More Steps

Evaluate
90k1
To take a root of a fraction,take the root of the numerator and denominator separately
90k1
Simplify the radical expression
90k1
Simplify the radical expression
More Steps

Evaluate
90k
Rewrite the expression
90×k
Simplify the root
310k
310k1
Multiply by the Conjugate
310k×10k1×10k
Calculate
3×10∣k∣1×10k
Calculate
30∣k∣10k
x=±30∣k∣10k
Separate the equation into 2 possible cases
x=30∣k∣10kx=−30∣k∣10k
Calculate
{k=0x=−30∣k∣10k{k=0x=30∣k∣10k
Solution
k=0,x=−30∣k∣10kk=0,x=30∣k∣10k
Show Solution
