(Do this homework first with pencil and paper not computers/software; then check your results with Matlab, Excel, or an appropriate computer/simulation tool) 1. Solve the following quadratic equation with 6S-computation using the quadratic formula with loss of significant digits and the algorithm that avoids the loss of significant digits. Show your work. x2 - 40 x - 2 = 0

Predict the residential retail sale of electricity in 2028.  Round to the nearest billion of kilowatt-hours.  NOTE: You may get the wrong answer if you do not use the quadratic model with coefficients rounded as described above.                             billion of kilowatt-hours

Find the roots of the quadratic equation 100x2 - 10011x + 10.011=0 with five-digit arithmetic. a. Calculate the relative error. b. What could you conclude from your calculations taking into account the relative error found?

This is our quadratic equation: 5x^2 - 10x - 45 = -5 Use the completing the square method to answers the following questions.   1.You do not need to do step one for this particular quadratic.. Single choice. true false   2.After doing (or not doing) step 1, your equation looks like which one? Single choice. x^2 - 2x - 9 = -1 5x^2 - 10x - 45 = -5   3.After doing step 2, the equation looks like which one? . Single choice. x^2 - 2x = 10 x^2 - 2x + 9 = -1 x^2 - 2x = 8 x^2 - 2x - 9 = -1   4.After doing step 3 the equation looks like which one? Single choice. x^2 - 2x = 8 x^2 - 2x + 1 = 9 x^2 - 2x + 10 = 8 x^2 - 2x + 1 = 10   5.After doing step 4, the equation looks like which one?  Single choice. (x - 3)(x + 3) = 8 (x - 1)^2 = 9 (x + 1)(x - 1) = 8 (x + 3)^2 = 9   6.A radical cancels. Single choice. a logarithm division the second power   7.When you take the square root of a number you always get. Single choice. a positive or…