radical equation | Harvard University test | can you solve this?

This is beautifully solved #mathstricks #solveexponentialequation #learnhowtosolvetheexponentialequation #mathproblem #algebra #equation

[@XBGamerX20]

9th grade math here in Greece. very easy, did this with my mind.

[@dalenassar9152]

This part was simply mental arithmetic (5 seconds, not 5 minutes)...There are TWO more roots...complex roots.

[@에스피-z2g]

x^(1/2+1/4)=2 x^(3/4)=2 x=2^(4/3) or 2curt3

[@PhilCoolMath]

Thanks

[@brianwade4179]

LHS = x^((1/2+1)/2) = x^(3/4) So we have x^(3/4)=2 So x = 2^(4/3) = 16^(1/3) aka cube root of 16

[@PhilCoolMath]

Thanks for showing your work! 👍