can you guys please help me wwith a math problem, its asking to solve this equatoion, sqare root5x-4=3x-18. to fkire off first 5x-4= 3x-18 squared. foil thatand you are looking AT 9x squared -54x -54x+324/ add the -54 to 108x.then shoot the 5x to to the 108x and subbtract 5x to get -113x. now were looking at 9x sqred -113x+328 and then use the quadratic formulah -113+0r minus sqre root of 113 which is ,12,769- 4(9)(328)/18when you mutiply 4 328and 9 you get 11,808subtract 12,769-11,808=961/18 so your left with 13+- sqareroot of 961/18
and when i work it out and double check i gardner a no sloution set i. we have home work on math xl program and when i selsct the option of no solution it ssaids there is a solution . i have work 4 different problems under the baaner number of 5 and each problem worked rings out a no sloution set. and math xl saaids there is. i have tinkered with various avenues with this problem for 1 hours and 30 min. please help!!!! if you don't mind
9x^2-113x+328=0
(9x-41)(x-8) = 0
note that sqrt(961)=31
sqrt(5x-4) = 3x-18
41/9 does not work, but 8 does
thx you steve
I'm sorry to hear that you're having trouble with your math problem. Let's go through the steps together to see if we can find a solution.
The equation you need to solve is √(5x-4) = 3x-18.
To start, let's square both sides of the equation to eliminate the square root:
(√(5x-4))^2 = (3x-18)^2.
Simplifying both sides, we have:
5x-4 = (3x-18)^2.
Now we need to expand the right side using the FOIL method:
(3x-18)^2 = (3x-18)(3x-18) = 9x^2 - 54x - 54x + 324.
Combining like terms, we get:
9x^2 - 108x + 324.
Now our equation becomes:
5x - 4 = 9x^2 - 108x + 324.
Rearranging the terms, we have:
9x^2 - 113x + 328 = 0.
At this point, we have a quadratic equation in standard form: ax^2 + bx + c = 0, where a = 9, b = -113, and c = 328.
To find the solutions, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a.
Plugging in the values, we have:
x = (113 ± √((-113)^2 - 4(9)(328))) / (2(9)).
Simplifying this further, you'll get:
x = (113 ± √(12769 - 11808)) / 18.
Now, you need to calculate the value inside the square root:
12769 - 11808 = 961.
So, the equation becomes:
x = (113 ± √961) / 18.
Now, let's solve for x:
x = (113 ± 31) / 18.
This gives us two possible solutions:
1. x = (113 + 31) / 18 = 144 / 18 = 8.
2. x = (113 - 31) / 18 = 82 / 18 = 4.55 (rounded to two decimal places).
Therefore, the solutions to the equation are x = 8 and x ≈ 4.55.
I hope this helps! If you're still having issues or if the MathXL program is giving you conflicting solutions, please double-check your work and make sure you follow the correct steps. It's also a good idea to reach out to your teacher or instructor for further clarification.