Solve. (x-3)^2 = 25.

Question

surana · Answer

The ^2 represents exponent 2.

surana · Answer

@millsemily  Just wanted to see if you could help.

welshfella · Answer

you need to take the square root of both sides

welshfella · Answer

the expression (x -3)^2 is a perfect square so what is its square root?

welshfella · Answer

^2  means 'squared'

michele_laino · Answer

hint:
$${\left( {x - 3} \right)^2} - 25 = {\left( {x - 3} \right)^2} - {5^2} = \left( {x - 3 - 5} \right)\left( {x - 3 + 5} \right) = \left( {x - 8} \right)\left( {x + 2} \right)$$

anonymous · Answer

what number multiplied by itself  =25 ?  this is what you think when asked for the square root of 25   so you know it is 5*5  so that's the right side solved=5
the left is what bracket multiplied by itself =(x-3)^2   it is (x-3)(x-3)
so square root is (x-3)

welshfella · Answer

Hint: there are 2 square roots of 25

surana · Answer

So the calculations made mean the answer is X = +/- 3? Because that's what I came up with if I follow the calculations here.

surana · Answer

I think it's 8 and -2, given what I got when I rewrote it.

surana · Answer

Thanks everyone.