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Free_Kalibri [48]

3 years ago

11

(10,31) (10,3) (3,10)

1 answer:

Maslowich3 years ago

3 0

Answer:

(10,3) is the correct answer

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For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

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:

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

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

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

What is 2/3 of $300?

wel

Well one third is 100
so two thirds must be 200

3 0

3 years ago

Read 2 more answers

What percent of 40 is 120?

aliya0001 [1]

Answer:

the correct answer is 33.33%

5 0

3 years ago

Read 2 more answers

Luis rides his bicycle 34 mile in 5 minutes, or 112 hour, along the bike trail. Assuming he rides at a constant rate, what is hi

artcher [175]

Answer:

$408\frac{miles}{hour}$

Step-by-step explanation:

we know that

To find the speed divide the total distance by the time

so

$\frac{34}{(1/12)}=34*12=408\frac{miles}{hour}$

3 0

3 years ago

If you add six to twice a number, the result is sixteen. what is the number?

boyakko [2]

Answer: 5

Step-by-step explanation: The result, you are told is 16 equals 16 and that will then solve and find the value of X. So two X will be 10. Both sides take away six And then divide by two on both sides and thanks will be five.

3 0

2 years ago

Read 2 more answers