-x^2 = -36 Solve the equation using inverse operations. Check your solutions. In you final answer, include all of your work.

x = ±6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra II

Extraneous solutions and multiple answers/roots

Step-by-step explanation:

Step 1: Define

-x² = -36

Step 2: Solve for x

Divide -1 on both sides:                         x² = 36Square root both sides:                         x = ±6

Step 3: Check

Plug in x to verify it's a solution.

Substitute in -6:                    -(-6)² = -36Exponents:                           -(36) = -36Multiply:                                -36 = -36Substitute in 6:                     -(6)² = -36Exponents:                           -(36) = -36Multiply:                                -36 = -36

Here we see that both -6 and 6 do indeed work as solutions.

∴ x = ±6 are both solutions to the equation.

One shot. if 60% of 10 is 6, then what is 70%? we know it would be seven (since 60% is mathematically 60/100, or 6/10, then 70% is 70/100, or 7/10) but we can check anyway using ratios: 6 : 60% = x : 70%*inverse multiplicationx * 60% = 6 * 70%*divide both sides by 60%x = (6 * 70%) / 60%x = 7and since he has made 6 shots already, he would need just one more to get 7 shots or 70%. if the explanation is too confusing, comment and i will try to