I need help solving a math problem. Solve. `(x-2.3)^2=25`

2 Answers

lemjay's profile pic

lemjay | High School Teacher | (Level 3) Senior Educator

Posted on


To solve, eliminate the exponent 2. So, take the square root of both sides.



Then, isolate x. To do so, add both sides by 2.3.



And, compute for the values of x.

`x=5+2.3=7.3 `          and          `x=-5+2.3=-2.7`

Hence, the solutions are `x=-2.7` and `x=7.3`  .

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steveschoen | College Teacher | (Level 1) Associate Educator

Posted on

Hi, user5932103,

I assume the problem is:

(x-2.3)^2 = 25

There are a couple of ways to do this problem.  The way I would do it is, first, take the square root of each sides.  That gives you:

x-2.3 = +-5, meaning positive 5 and negative 5.

For this, we separate the equation into two equations:

x-2.3 = 5    and    x-2.3 = -5

Solving these, we add 2.3 to all sides, giving us:

x = 7.3                 x = -2.7

So, there would be two solutions.

Good Luck, user5932103.  I hope this helps.