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Fittoniya [83]
3 years ago
9

How many roots can a quadratic equation have

Mathematics
2 answers:
Roman55 [17]3 years ago
7 0

Step-by-step explanation:

It all depends on the discriminants sign.

The quadratic equation:

ax^2+bx+c=0

The discriminant:

\Delta=b^2-4ac

If Δ < 0, then the equation has no real solution

If Δ = 0, then the equation has one solution x=\dfrac{-b}{2a}

If Δ > 0, then the equation has two different solution

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

Llana [10]3 years ago
3 0

Answer:

2 roots, 1 root, or no roots

Step-by-step explanation:

There is a maximum of two roots

If the maximum or minimum is on the x-axis there is 1 repeated root

The roots are imaginary if it does not touch the x-axis

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goblinko [34]
Usual limit of sin is sinX/X--->1, when X--->0

sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x=                    [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
   =(sin3x / 3x) . (3/5x^2- 4)
finally lim  sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
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3 0
3 years ago
In the picture below x=​
gogolik [260]

Answer:

\displaystyle 79°

Step-by-step explanation:

The m∠x is 79°, according to the Alternate Exterior Angles Theorem.

I am joyous to assist you anytime.

* That does NOT look like an acute angle because 79° is considered an acute angle, since it is <em>less</em><em> </em><em>than</em><em> </em>90°.

3 0
3 years ago
how many different three digit numbers can be formed using the digits 9 3 4 7 and 6 assume the number can be used more than once
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Step-by-step explanation:

3 0
2 years ago
A semi-circular garden has an area of 18pie m2 what is the perimeter of the garden
nataly862011 [7]

Answer:

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Step-by-step explanation:

We know that the area of a circle is equal to \pir^{2}.

A semi-circle is a half-circle, meaning that it will have half of the area of a full circle.

Therefore, a semi-circle's area is equivalent to \frac{\pi r^{2} }{2}.

Set this equation equal to 18\pi.

Solve for r.

We then find that r = 6.

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Plug 6 in for r.

The perimeter of the garden is equal to 6\pi.

7 0
2 years ago
271,403 rounded to the nearest ten thousand.
ratelena [41]

Answer:270,000

Step-by-step explanation:

The 7 is the 10 thousandths so the next number over you. Round

3 0
3 years ago
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