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Solve root 𝑥 minus five equals negative one.
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Okay, to solve this equation, we don’t have to worry that there’s a square root sign involved.
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We just solve it the same way that we would solve any equation.
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And we can begin by adding five to each side.
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So we get root 𝑥 minus five add five, which is just root 𝑥.
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And then we have negative one add five, which is four.
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Okay, so now what we need to do, because we have root 𝑥 is equal to four, is we actually need to square both sides in order to find out what 𝑥 is.
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So if we square root 𝑥, we’re just gonna get 𝑥.
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So we’re gonna have 𝑥 is equal to four, and then four squared because we squared that side as well.
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So therefore, we get that 𝑥 is equal to 16.
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Okay, so we’ve solved the equation for 𝑥.
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But let’s substitute it back in, just to double check.
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So if we substitute 𝑥 equals 16 back into our original expression, we’re gonna have root 16 minus five, which is equal to four minus five, which is equal to negative one.
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So great, negative one is what we were looking for.
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So therefore, we can say that the solution to root 𝑥 minus five equals negative one is: 𝑥 is equal to 16.