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Solving Quadratic Equations with Square Roots

Solving Quadratic Equations with Square Roots 1.16 - Solution

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a

First we want to isolate the -term. After that we can square root both sides of the equation.

The equation then has two real solutions: and

b

Our -term stands alone on the left side, so in order to solve the equation we take the square root of both sides. But we cannot calculate the square root of That is because there is no real number whose square is negative. Therefore, the equation has no real solutions.

c

After we have isolated the -term we can write the equation as Just like in Part B, this is an equation that lacks real solutions, because we must take the square root of a negative number to solve it.

d

Let's isolate the -term on one side. After that we can square root both sides.

This equation has two real solutions and they are and