Answer:
no solution
Step-by-step explanation:
5x - 8(x + 5) = 6 - 3x
Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.
First, distribute -8 to all terms within the parenthesis
-8(x + 5) = (-8)(x) + (-8)(5) = -8x - 40
5x - 8x - 40 = 6 - 3x
Isolate the variable (x). Add 3x & 40 to both sides
5x - 8x (+3x) - 40 (+40) = 6 (+40) - 3x (+3x)
5x - 8x + 3x = 6 + 40
Simplify. Combine like terms
(5x - 8x + 3x) = (6 + 40)
0 = 46 ; False 0 ≠ 46 ∴ no solution is your answer
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Answer:
6
Step-by-step explanation:
Double negative = positive
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Let's do both. For the first one, we can add 1 to both sides using the property of equality, and get 4x < -12. Then, we divide by 4, getting us x<-3. For the second, we subtract 3 from both sides to get -2x < 4. Then, we divide by -2 on both sides, but when we divide by a negative we have to switch the sign. So, we get x > -2. Hope this helps.
Answer:
Step-by-step explanation:
The key and the most critical step is to draw the line first. Don't do anything else before that.
(2,-8) (-2,-8)
What you find out is that the y value is always - 8.
So the line has no slope and any x value
y = 0*x + b
y = - 8 is the equation of the line.