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x=±√7

Step-by-step explanation:

Hi there!

We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).

So we need to isolate x onto one side.

We can start by adding 42 to both sides

6x²=42

divide both sides by 6

x²=7

Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).

x=√7 and x=-√7 (can be rewritten as x=±√7)

Hope this helps! :)

Step-by-step explanation:

6x the ''2'' is supposed to be a exponent  all the time -42=0

6x2 -42 + 42=0 +42 {add 42 to both sides}

6x2=42

6x2                                    42

fraction brackets =   {divide by 6}

6                                           6

x2 =7

2

step-by-step explanation: