Solve the quadratic equation 2x2 − 9x = 35 for x

or

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

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

2425

step-by-step explanation: