Question

What are the roots of 4x2 + 35x − 9 = 0?

Answer 1

• 4x²+35x-9=0
• 4x²+36x-x-9=0
• 4x(x+9)-1(x+9)=0
• (4x-1)(x+9)=0
• x=1/4 and -9

Answer 2

Solution given:

4x²+35x-9=0

comparing above equation with ax²+bx+c.

we get

a=4

b=35

c=-9

we have

x=
`( - b±√(b²-4ac))/(2a)`

x=
`( - 35±√(35²-4*4*-9))/(2*4)`

x=
`( - 35±√(1369))/(2*4)`

x=
`( - 35±37)/(8)`

taking positive;

x=
`( - 35+37)/(8)`

x=
`(1)/(4)`

taking negative

x=x=
`( - 35-37)/(8)`

x=-9

Therefore:the roots of 4x²+ 35x − 9 = 0 is
`(1)/(4)` or-9.