2x^2 - 9x = 35

Solve the quadratic equation using the quadratic formula.

Step-by-step explanation:

The given equation in standard form can be written as

comparing with the standard equation,

we observe that

putting the values of a, b and c in the quardatic formula

x = (-b±) : 2a

x = ( - (-9) ±) : 2 (2)

x = (9±) : 4

x = (9±) : 4

x = (9±19) : 4

x = (9+19) : 4 or x = (9-19) : 4

x=28:4 or x=-10:4

x=7 or x=-5:2