What conditions give 2 roots, one root and no root?

1 answer:

8 0

The discriminant D is found by this formula

D = b^2 - 4ac

there are 3 possible outcomes

1) If D is smaller than 0, ie D < 0, then there are no roots

2) If D is equal to zero (D = 0), then there is exactly one root. This root is rational assuming the coefficients are integers. This is called a double root

3) If D > 0, then there are 2 different roots. If D is a perfect square, then these two roots are rational numbers (aka fractions of whole numbers) assuming the coefficients are integers. If D is not a perfect square, then the two roots are irrational numbers.

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4 years ago

Ab with endpoints A(4,-6) and B(-4,2)

gayaneshka [121]

Answer: $d_{AB}=11.31\ units$

Step-by-step explanation:

The formula for calculate the distance between two points is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, given the points A(4,-6) and B(-4,2), we can identify that, we just need to substitute values into the formula in order to calculate the distance between the given points.

Thierefore, this is (Rounded to the nearest hundred):

$d_{AB}=\sqrt{(4-(-4))^2+(-6-2)^2}\\\\d_{AB}=11.31\ units$