Answer:2x(x+4) = (x-3) (x-3)2x²+8x = x²-6x+90 = -2x² + x² -6x - 8x + 90= -x²-14x+9-x²-14x+9= 0Multiply the equation by -1 x² + 14x − 9 = 0Identify a = 1, b = 14, c = -9Use quadratic formula x = (-b ± √(b² − 4ac)) / 2aPlug in values x = [-14 ± √(14² − 4·1·(-9))] / (2·1) x = (-14 ± √(196 + 36)) / 2 x = (-14 ± √232) / 2Simplify √232 √232 = √(4·58) = 2√58Simplify the expression x = (-14 ± 2√58) / 2 x = -7 ± √58Answer:x = -7 ± √58
Expand the equation 2x + 8 = x^2 - 3x +9Rearranging the equation:2x+3x-2²=+9-85x-4=15x=1+45x=5 Divide both sides by the coefficient x5x/5=5/5=1