Pre Calculus
posted by Ash .
square root of 3x4 = (x4)^23
Normally, I either take the square root of both sides or I square both sides. Since there is a sqared and a square root, I am confused on how to go about it. Could you please head me in the right direction?

I don't see a square root anywhere.
Let's start by rewriting it as
3x 1 = (x4)^2
Then turn it into a binomial equation with zero on one side.
3x 1 = x^2 8x + 16
x^2 11x + 17 = 0
That does not factor easily, so use the quadratic equation to solve.
x = (1/2)[11 +/ sqrt(121  68)]
= (1/2)[11 +/ sqrt53]
One of the roots is x = 9.14
Respond to this Question
Similar Questions

Math
What are the solution sets of the following 3 problems,the square root of x squared + 3x = x3, the square root of 3x + 10 = x + 4 and finally the square root of 8x  2 = the square root of 2x? 
Algebra
Solve 2+ the square root of 4x=x what is your question? 
Pre Algebra
Please help me with some problems. Thank you! Solve the equation by square root property. 3. 2x^2 = 26 I don't understand how to solve this problem. Solve the equation using the quadratic formula. 7. 7x^2=8x 2 This is what I got … 
PreCalculus
(not sure how to type square root of) square root of 3x  4 = (x4)^23 Normally, I either take the square root of both sides or I square both sides. Since one side of the equation is square root of 3x4 and the other side is (x4) … 
precalculus
Could someone please help me with this problem? 
Algebra
Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed … 
Math simplifying mixed radicals
Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed … 
college precalculus
simplify: square root (4/3)square root (3/4) A. 2sqaure root(3)/2 square root (3) B. square root (7/12) C. square root (3)/6 D. 2/square root (3) which answer? 
math
Say if these numbers make a right triangle and a Pythagorean triple: 2, 2 square root 2, and 2 square root 3. I am confident that the answer for both parts of the question is no, because when 2 is squared and when 2 square root 2 is … 
Calculus
A rectangle is bounded by the x axis and the semicircle = square root 25x^2. What length and width should the rectangle have so that its area is a maximum?