What is one solution of the equation x²  21.75x = 15.75?
x²  21.75x = 15.75
x²  21.75x + 15.75 = 0 {added 15.75 to each side} a = 1, b = 21.75, c = 15.75 b ± √(b²  4ac) x =  {the quadratic formula} 2a (21.75) ± √[(21.75)²  4(1)(15.75)] x =  {substituted into the quadratic formula} 2(1) 21.75 ± √(473.0625  63) x =  {simplified and evaluated exponent} 2 21.75 ± √410.0625 x =  {subtracted under the radical sign} 2 21.75 ± 20.25 x =  {evaluated square root of 410.0625} 2 21.75 + 20.25 21.75  20.25 x =  or  {split, using the ± sign} 2 2 42 1.5 x =  or  {added and subtracted} 2 2 x = 21 or 0.75 {divided} Also, it is possible to find the solutions by using a graphing calculator. The solutions are the xintercepts of the graph.
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