Answer:
Step-by-step explanation:
Given that,
F(x) = x⁴-5x²
The x-intercept of this function occurs at f(x) = 0
Therefore,
x⁴-5x² = 0
x²(x²-5) = 0
x² = 0 OR x²-5 = 0
x = 0 twice or x² = 5
x = 0 twice or x = ±√5
So the solution to this equation is
x = 0 twice, x = √5 of x = -√5
Then, the intercept (x, y) are
(0,0) so this will only occur once
(-√5, 0)
(√5,0)
So the function has 3 x intercept which are 0,√5 and -√5
Answer:
A =
Step-by-step explanation:
From the number line attached in the figure,
Number of small parts from number 0 to 1 on the given number line = 6
A is the point which lies at 5th part from 0.
Each small part represents the fraction =
Therefore, A represents the fraction =
=
So A = will be the answer.
Given equation of the Circle is ,
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .