Answer:
Solution given:
4x²+35x-9=0
comparing above equation with ax²+bx+c.
we get
a=4
b=35
c=-9
we have
x=[tex] \frac{ - b±\sqrt{b²-4ac}}{2a} [/tex]
x=[tex] \frac{ - 35±\sqrt{35²-4*4*-9}}{2*4} [/tex]
x=[tex] \frac{ - 35±\sqrt{1369}}{2*4} [/tex]
x=[tex] \frac{ - 35±37}{8} [/tex]
taking positive;
x=[tex] \frac{ - 35+37}{8} [/tex]
x=[tex] \frac{1}{4} [/tex]
taking negative
x=x=[tex] \frac{ - 35-37}{8} [/tex]
x=-9
Therefore:the roots of 4x²+ 35x − 9 = 0 is [tex] \frac{1}{4} [/tex] or-9.
