Answer:
x = 10
The second number is 50
Step-by-step explanation:
Givens
The first number = x
The second number = 5x
Together when added the answer is 60
Equation
x + 5x = 60 Combine like terms
Solution
6x = 60 Divide by 6
6x/6 = 60/6
x = 10
Answer:
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1. (x² + 24) factors as the difference of two squares (x² - (-24)) where -24 is the square of the complex number i√24 = 2i√6. The factoring is
(x - 2i√6)(x + 2i√6)
2. The square of half the coefficient of the x-term needs to be added: 4.5² = 20.25
This number goes in both boxes.
3. This is the square of (y² +20), so the factorization is similar to that for problem 1.
y⁴ + 40y² + 400 = (y² + 20)² = (y -2i√5)²(y +2i√5)²
Answer:
x=12
x=6
Step-by-step explanation:
15-(3)=12
9-(3)=6