Question

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

Answer 1

`x=7` or
`x=-5/2`

Explanation:

The given equation in standard form can be written as

`2x^(2) -9x-35=0`

comparing with the standard equation
`ax^(2) +bx+c=0` ,

we observe that

`a=2` ,
`b=-9` ,
`c=-35`

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

x=(-b±
`\sqrt{b^(2)-4ac }`)÷2a

x=(-(-9)±
`\sqrt{(-9)^(2)-4(2)(-35) }`)÷2(2)

x=(9±
`√(81+280)`)÷4

x=(9±
`√(361)`)÷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