Answer:
x = (1 + sqrt(253))/14 or x = (1 - sqrt(253))/14
Step-by-step explanation:
Solve for x:
7 x^2 = x + 9
Subtract x + 9 from both sides:
7 x^2 - x - 9 = 0
x = (1 ± sqrt((-1)^2 - 4×7 (-9)))/(2×7) = (1 ± sqrt(1 + 252))/14 = (1 ± sqrt(253))/14:
Answer: x = (1 + sqrt(253))/14 or x = (1 - sqrt(253))/14
Answer:
14, 16
Step-by-step explanation:
The prime factorization of 224 is 2⁵ × 7. To make it a perfect square, we need the bases to have an even exponent, therefore we divide it by 2 × 7 = 14 to get 16.
Answer:
There is no solution to that equation.
Step-by-step explanation:
First thing to do is to put the second equation in terms of y. To do so the equation becomes y= 2/3x+5. Comparing those two equation you can see that the slopes are the same and thus means that the system has no solution.
Another way to see this is by graphing both of thee equations is a calculator and seeing there are no points of intersection.
Answer: s= - 8/5
Step-by-step explanation:
Simplify 4-164−16 to -12−12.
-12=2+5(s+14)
−12=2+5(s+14)
2 Subtract 22 from both sides.
-12-2=5(s+14)
−12−2=5(s+14)
3 Simplify -12-2−12−2 to -14−14.
-14=5(s+14)
−14=5(s+14)
Answer:
x=27
Step-by-step explanation:
expanding the above expression we get
5x+5=4x+32
grouping numbers with coefficient of x at the left side and constant at the right side we get
5x-4x=32-5
x=27