√10x-24 = x
Step by step solution :
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√10x-24 = x
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√10x-24)2 = (x)2
After squaring
10x-24 = x2
STEP
3
:
Solve the quadratic equation
Rearranged equation
x2 - 10x + 24 = 0
This equation has two rational roots:
{x1, x2}={6, 4}
STEP
4
:
Check that the first solution is correct
Original equation
√10x-24 = x
Plug in 6 for x
√10•(6)-24 = (6)
Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6
STEP
5
:
Check that the second solution is correct
Original equation
√10x-24 = x
Plug in 4 for x
√10•(4)-24 = (4)
Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
Answer:
B
Step-by-step explanation:
The secant- tangent angle b is half the difference of the measures of the intercepted arcs , then
b = 
( 180 - 35) = × 145° = 72.5° → B
The value of the expression is 630.
-- They are unequal
-- The area of the circle is (pi) (radius²) = 19.63 inches² .
-- The area of the square is (side length)² = 25 inches² .
-- The area of the square is 27.3% greater than the area of the circle.
