x=4
Step-by-step explanation:
2log(x)+log(5)=log(80)
log(x^2)+log(5)=log(80)
log(5x^2)=log(80)
5x^2 =80
x^2 =80/5
x^2=16 , taking square root both sides
x=√16
=4
Answer:
153
Step-by-step explanation:
8x4=32
5x3=15
32-15=17
9x17=153
Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
so the ODE is indeed exact and there is a solution of the form 
. We have
With 
, we have
so
