Answer:
x=(-11+√ 65)/4 OR in decimal form x=(-0.73443556..)
AND
x=(-11-√ 65)/4 OR in decimal form x=(-4.76556443..)
Step-by-step explanation:
[tex]8c^{2} +11c+7=6c^{2}[/tex]
step1: make the equation equal to zero.
[tex]8c^{2} +11c+7-6c^{2} =0[/tex]
(simplify)
[tex]2c^{2} +11c+7=0[/tex]
step2: find the values of x using the quadratic formula:
[tex]x=\frac{-b^{2}+- √(square- root)b^{2} -4ac}{2a}[/tex]
a=2
b=11
c=7
[tex]=\frac{-11+-√ 11^{2}-4*2*7 }{2*2}[/tex]
(simplify)
[tex]=\frac{-11+-√ 65}{4}[/tex]
step3: identify the values of x.
x=(-11+√ 65)/4
AND
x=(-11-√ 65)/4
