Answer:
x= -3+√2 or x= -3-√2 ( answer : A and B )
Step-by-step explanation:
hello :
x²+6x+9 = (x+3)².....identity
x²+6x+9 =2 means : (x+3)²=2
so : (x+3 = √2) or (x+3 = - √2)
so two solutions :
x= -3+√2 or x= -3-√2
Answer:
according to basic proportionality theorem
Answer:
14/33
Step-by-step explanation:
Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
5^-3 is 1/125
The negative in the exponent makes it so there is a 1 over the problem if there was no negative. When you have a negative in the exponent, the answer will be the reciprocal (opposite) of the question with no negative.
For example,
9^2 = 81
9^-2 = 1/81
