Answer:
Sol: In this question, firstly we have to make the first bracket as a complete square of the second bracket. This we can by adding 2.x.1/x which is equivalent to 2. Then the equation becomes:
6(x2 + 1/x2 +2) – 5(x + 1/x) = 50 { 38 + 6*2)
⇒ 6(x2 + 1/x2 +2) – 5(x + 1/x) – 50 = 0
Now put x + 1/x = y
⇒ 6y2 -5y -50 = 0
⇒ (2y +5)(3y-10)= 0
⇒ y=-5/2 or 10/3
As x is positive therefore, x + 1/x =10/3
On solving further you will get as x=3 or 1/3
Answer:
A, B, C are Collinear points
Step-by-step explanation:
set up the triangle with the information given. then just solve for x.
For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.
Your information:
I = (870)(0.08)(5)
I = 348
Add the interest to the principal for your total balance
348 + 870 = $1218 will be the total balance in the account.
Answer:
The equation for the axis of symmetry is x=1.5.
Step-by-step explanation:
It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .
In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.
If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is

According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.



Therefore the equation for the axis of symmetry is x=1.5.