Solve each equation using the square root property. See Example 2...

Question

Solve each equation using the square root property. See Example 2. (-2x + 5)^2 = -8

Accepted Answer

Use the square root rule to solve the given quadra equation where we have negative three X plus seven squared as equals to negative 1 35. The square root rule just states that we can take the square root of both sides. Since we have our function uh squared, the entire function squared take the square root of both sides. You will get negative three X plus seven as equals to the square root of negative 1 35 plus or minus. I can then split this up into two different equations. They have three X plus seven S equals the square roop like 1 35 negative three X plus seven is equals to negative Square Group of -135. Now 1 35 As factors nine and 15, We write this as Native 9, 10 15 which can then be factored or square rooted three I square root of 15, -2 x squared to 15 will go on the right side. Now we can solve for X To fact seven from both sides to get negative three, X is equals to three I squared to 15 minus seven Divided by -3 to get X is equals To negative I squared, the Then plus seven divided by three. The other one will do the same thing. Select seven on both sides to native three. X is equals to native three I squared to 15 minus seven divided by negative three. Gives us X is equals to I squared of Plus seven divided by three. We can't simplify any further which we can then tell the answer to our problem. Turns out to be answer A OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

Solve each equation using the square root property. See Example 2. (-2x + 5)^2 = -8

Key Concepts

Square Root Property

Complex Numbers

Isolating the Variable

Watch next