Determine the zeroes of 10x2−5=35

x = +2, x = -2

Step-by-step explanation:

The equation to solve in this problem is

The first step we do is to subtract 35 on both sides of the equation, so we get:

Now we simplify the equation by dividing both terms by 10:

Now we observe that the term on the left is the difference between two squares, so it can be rewritten using the property:

Where here,

a = x

b = 2

So we can rewrite the equation as:

And this equation is zero when either one of the two factors is zero, so the two solutions are:

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step-by-step explanation:

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