Solve the equation: 7x^(2) +33x-10=0

Question

This problem needs to be solved using the quadratic formula.

Answer 1

7x^2+33x-10=0

you can factor without using the quadratic formula...

7*10=7*2*5=2*5*7=2*(5*7)=2*35 and 35-2=33

(7x-2)(x+5)=0

7x-2=0

7x=2

x=2/7

x+5=0

x=-5

using the quadratic formula...

(-33±√[1089+280])/14 (33^2=1089 and 4*7*10=280)

(-33±√1369)/14

(-33±37)/14

(-33+37)/14 and (-33-37)/14

4/14=2/7

-70/14=-5