SOLUTION: Solve the each of the following equations algebraically.
A. {{{ 2(x - 5)(2x + 3) + 2(x - 5)^2 = 0 }}}
B. {{{ 2x^(2/3) - 5x^(1/3) = 12 }}}
C.
Algebra.Com
Question 906749: Solve the each of the following equations algebraically.
A.
B.
C.
Please explain how to solve
Thank you
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A.
x=5 OR x=2/3
B.
x^3*2x^(2/3)/x^3 +5x^3*x^(1/3)/x^3= 12
2x^6+5x^9=12x^3
5x^9+2x^6-12x^3=0
x^3(5x^6+2x^3-12)=0
x=0 is one solution
lt x^3=a
5a^2+2a-12=0
Find the roots of the equation by quadratic formula
a= 5 b= 2 c= -12
b^2-4ac= 4 - -240
b^2-4ac= 244 = 15 5/8
x1=( -2 + 15 5/8 )/ 10
x1= 1 3/8
x2=( -2 -15 5/8 ) / 10
x2= -1 3/4
a=11/8 OR -7/4
x^3=11/8 OR x^3= -7/4
C.
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