#7) -7,-2,0,3,4
#8) -9,-6,-5,1,8
First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
Answer:
The square root of 8 is expressed as √8 in the radical form and as (8)½ or (8)0.5 in the exponent form. The square root of 8 rounded up to 8 decimal places is 2.82842712. It is the positive solution of the equation x2 = 8. We can express the square root of 8 in its lowest radical form as 2 √2.
Square Root of 8: 2.8284271247461903
Square Root of 8 in exponential form: (8)½ or (8)0.5
Square Root of 8 in radical form: √8 or 2 √2
Answer
given,
f(x) = 74 - x²
A function is continuous when it is differential at all the points.


so, the given function is continuous for all the value of x.
We should know that if a function is quadratic then it is differential at all the point. And if it is differential then it is definitely continuous.
Hence, there is no discontinuous point present in the equation.