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

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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