3 years ago

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.

Mathematics

1 answer:

oee [108]3 years ago

4 0

Answer:

True

Step-by-step explanation:

Here, we want to check if the given equation does not intersect the x-axis

if it does not, then it has no real root

If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis

The formula for the discriminant is;

D = b^2-4ac

In the question;

a = -1 , b = 6 , c = 10

so;

D = 6^2-4(-1)(10)

D = 36-40

D = -4

Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis

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state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.​

state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.