Question

Solve the quadratic equation. 2x2 + 35 = 17x


A) 7/2 and 5
B) -7/2 and 5
C) -7/2 and -5
D) 2/7 and 1/5

Answer 1

$2x{2} - 17x + 35 = 0 \\ factorise \\ 2x {2} - 10x - 7x + 35 = 0 \\ 2x(x - 5) - 7(x - 5) = 0 \\ 2x - 7and. \\ x - 5 \\ x = 7 \div 2 \\ x = 5$