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Cerrena [4.2K]
3 years ago
13

3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup = 0, the equation has only one solution.

In this problem, we have that:

3x^{2} + kx + 3 = 0

So

a = 3, b = k, c = 3

\bigtriangleup = b^{2} - 4ac

\bigtriangleup = k^{2} - 4*3*3

\bigtriangleup = k^{2} - 36

We will only have one solution if \bigtriangleup = 0. So

\bigtriangleup = 0

k^{2} - 36 = 0

k^{2} = 36

k = \pm \sqrt{36}

k = \pm 6

For k = 6 or k = -6, the equation will have exactly one solution.

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I NEED HELP PLEASE!!
Anna71 [15]

Answer:

m = 2

Step-by-step explanation:

take 2 pairs from x

choose (1,5) and (2,7)

it will be m = 5 - 7

and in the bottom  1 - 2          it's a fraction

m = -2/-1

the numerator and denominator can't be both negative

so your answer is m= +2

m= slope

rate of change= slope

7 0
2 years ago
(38x+61y)-(3x-11y) simplify this expression
Roman55 [17]

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▹ Answer

<em>35x + 72y</em>

<em />

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

Hope this helps!

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4 0
3 years ago
Find the x and y intercept of each line y=7x + 5
Zina [86]

Answer:

y intercept is 5. x intercept is 5/7

4 0
3 years ago
Kite WXYZ is graphed on a coordinate plane. What is the area of the kite?
Misha Larkins [42]

Answer:

14 square units

Step-by-step explanation:

There are several ways we can find the area.  Probably the easiest is to cut the kite in half vertically and find the area of each triangle.  The area of the kite will be double that.

The height of the kite is 7 units, and the width is 4 units.  So each triangle will have a base of 7 and height of 2.

A = 1/2 bh

A = 1/2 (7) (2)

A = 7

The area of the kite is double that, so:

2A = 14

3 0
3 years ago
Read 2 more answers
5(3x + 9) -2x = 15x-2(x-5)
ipn [44]

Answer:

15x+45-2x=15x-2x-10

13x+45=13x+10

13x-13x=10-45

if you simplify further

you will not get an answer there is a mistake in the question

3 0
3 years ago
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