+4473 We begin by squaring both sides to get rid of the square roots: sqrt(6x - 15) = sqrt(4x + 7) --> 6x - 15 = 4x + 7
Next, we get all the x terms on one side and all the regular numbers to the other side by adding 15 to both sides and subtracting 4x from both sides: By doing this, we get 2x = 22.
Now, we are left with something easy and we can see that 22/11 = x --> x = 11.
Do a quick check to see if x = 11 satisfies the condition:
sqrt(6*(11) - 15) = sqrt(4*(11) + 7)
sqrt(66 - 15) = sqrt(44 + 7)
sqrt(51) = sqrt(51) --> Yes.
+4473 We begin by squaring both sides to get rid of the square roots: sqrt(6x - 15) = sqrt(4x + 7) --> 6x - 15 = 4x + 7
Next, we get all the x terms on one side and all the regular numbers to the other side by adding 15 to both sides and subtracting 4x from both sides: By doing this, we get 2x = 22.
Now, we are left with something easy and we can see that 22/11 = x --> x = 11.
Do a quick check to see if x = 11 satisfies the condition:
sqrt(6*(11) - 15) = sqrt(4*(11) + 7)
sqrt(66 - 15) = sqrt(44 + 7)
sqrt(51) = sqrt(51) --> Yes.
