Answer:X =1
Step-by-step explanation:
Answer:
a) 5xy + 9yz + 3zx + 5x - 4y
Step-by-step explanation:
→ (7xy + 5yz - 3zx) + (4yz + 9zx - 4y) + (-3xz + 5x - 2xy)
→ (7xy - 2xy) + (5yz + 4yz) + (-3zx + 9zx - 3xz) + (5x) + (-4y)
→ 5xy + 9yz + 3zx + 5x - 4y
Hence, option (a) is the correct answer.
Answer:
8 and 9
Step-by-step explanation:
From the question we are given;
- The product of two positive consecutive number is 72
We are required to determine the integers;
- We need to know that the difference between two consecutive integers is 1
Assuming that the smaller integer is x
Then the other integer is x+1
Therefore;
x(x+1) = 72
x² + x = 72
Rearranging in quadratic manner;
x² + x - 72 =0
Solving quadratically, using factor method;
Product = -72x
Sum = x
Numbers = 9x and -8x
Thus;
x² + 9x -8x - 72 =0
x(x+9) - 8(x+9) = 0
Then;
(x-8)(x+9) =0
Hence, x-8 = 0 or x+9 =0
Therefore, x = 8 or x = -9
We take, x = 8 (positive integer)
Hence, the required integers are 8 and 9