The greenhouse club is purchasing seed for the lawn in the school courtyard. the club needs to determine how much to buy. unfortunately, the club meets after school, and students are unable to find a custodian to unlock the door. anthony suggests they just use his school map to calculate the area that will need to be covered in seed. he measures the rectangular area on the map and finds the length to be 10 inches and the width to be 6 inches. the map notes the scale of 1 inch representing 7 feet in the actual courtyard. what is the actual area in square feet?

Your solutions are    x = -2, 0, 2======if we let      a = x² + 4then we can use "a" to find the solutions for the equation    notice how the right-hand side of the equation can be factored. we factor out a 12 from the right-hand side to get    notice that we have x² + 4 in the following locations:     we substitute those x² + 4 with "a" since we let a equal that expression.    make this into a typical quadratic equation. subtract 12a from both sides to get    find two numbers that multiply to get +32 and add to get -12.these two numbers are -8 and -4.therefore, we can factor a² - 12a + 32 into (a-8)(a-4)    by the zero factor property, the solutions occur when    if we back-substitute x² + 4 in for a, we get two more quadratic equations to solve. these are pretty easy to solve via square rooting:     your solutions are    x = -2, 0, 2