What is the solution of the equation (x - 5) 2 + 3 (x - 5) + 9 = 0? Use u substitution and the quadratic formula to solve. x = 2 x = 8

Question

Mathematics

Harvey

12 September, 14:13

What is the solution of the equation (x - 5) 2 + 3 (x - 5) + 9 = 0? Use u substitution and the quadratic formula to solve. x = 2 x = 8

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Desirae Spencer · Answer 1

(X-5) 2+3 (X-5) + 9 = 0

let expand the equation

(x) x2 - (5) x2 + 3 (x) - 3 (5) + 9 = 0

2x-10+3x-15+9=0

collect like terms

2x+3x-10-15+9 = 0

5x-10-6 = 0

5x-16=0

5x=0+16

5x=16

divide both side by 5 we have

x=16/5