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The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.
Start by moving the -1 to the other side, as we need this function to equal zero.
2x^2 + 3x + 1 = 0
This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.
b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1
The value of the discriminant is 1, meaning that two real roots exist for the function described.
Answer:
10x + 16
Step-by-step explanation:
Doing the distributive property, we get the answer 10x + 16.
Slope of the line
(3-(-5)) / (-5-(-1))
8 / -4
-2
Yes, substitute a=2.
14 - 4 + 6 - 6 = -2
8 - 10 = -2
