Answer:
x=3
Step-by-step explanation:
Set equations equal to each other:
Subtract two from both sides
Factor out x^2 from the left side
Factor the right side, look for two factors of 9, which add to -6, which is just -3 and-3
So as you can see here, we have both sides in factored form, and both have a factor of (x-3) on both sides, and if one of the factors is zero, then the entire thing becomes zero, since 0 * anything= zero.
this means a solution would be at x=3, since it makes the right side 0 * 0 = 0, and the left side (3)^2 * 0 = 0
It's important to notice this, since had we divided by x-3 to make the equation a quadratic, we would've excluded this real solution, because when dividing by x-3 the solution x=3 makes it 0, so we would've been dividing by zero.
So one of the real solutions is at x=3
Answer:
x= -1.4 i think
Step-by-step explanation:
Answer: The smaller integer is 12, while larger integer is 23
Step-by-step explanation:
The sum of two positive integer;
a + b = 35, when smaller integer is subtracted from twice the larger integer we have, 2a - b = 34 assuming b as the smaller integer, so your equation goes this way.
a + b = 35........(1)
2a - b = 34.......(2). To solve by elimination method add both equation. We have;
3a + 0 = 69
3a = 69, divide both sides by 3.
3a/3 = 69/3 so we have;
a = 23
To know the value of b, substitute 23 for the value of a in any of the equations, let's go with (1). From one we have;
a + b = 35 if a = 23 we have;
23 + b = 35
b = 35 - 23
b = 12.
Check: a + b = 35
23 + 12 = 35
35 = 35
The answer is correct.
Answer:
4
Step-by-step explanation:
The geometric mean finds the typical value of a set of numbers through multiplication. To find the geometric mean of two numbers, you take the square root of the product of the two numbers.
So in this instance, multiply the two numbers together:
And take the positive square root of the product:
The geometric mean is different than the commonly-used arithmetic mean, which finds the central value of a set of numbers by dividing the set's sum total by how many numbers are in the set.
Answer:
The answer is 5
Step-by-step explanation:
2x+7=17
2x=10
x=5
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