X^2-5x, given x=7,
(7)^2-5(7)=14
sqrt(14)=3.74
We have the following equation:
2 (x-3) ^ 2 + 10 = 82
We must clear x.
We pass the constant terms to one side of the equation:
2 (x-3) ^ 2 = 82 - 10
2 (x-3) ^ 2 = 72
(x-3) ^ 2 = 72/2
(x-3) ^ 2 = 36
Square root to both members:
x-3 = +/- root (36)
x-3 = +/- 6
The solutions are:
x1 = 6 + 3 = 9
x2 = -6 + 3 = -3
Answer:
x1 = 9
x2 = -3
y < –12
Solution:
Step 1: Given inequality is y + 15 < 3.
To find the solution to the inequality.
Step 2: Subtract –15 on both sides to equal the expression.
⇒ y + 15 –15 < 3 –15
Step 2: Using addition identity property, any number adding with zero gives the number itself.
⇒ y + 0 < –12
⇒ y < –12
Hence the solution to the inequality is y < –12.
Answer:
Step-by-step explanation: ifk
Answer:
Step-by-step explanation:
y′′ + 4y′ − 21y = 0
The auxiliary equation is given by
m² + 4m - 21 = 0
We solve this using the quadratic formula. So
So, the solution of the equation is
where m₁ = 3 and m₂ = -7.
So,
Also,
Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,
Substituting A into (1) above, we have
Substituting B into A, we have
Substituting A and B into y, we have
So the solution to the differential equation is
