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3 years ago

PLS HELP ME FOR THIS QUESTION

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

6 0

Answer: DO you have any options that can help me answer it?

Step-by-step explanation:

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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

Diego Is filling a 1- gallon jug With tea and lemonade. the total amount is less than 1 gallon. what could be the two different

Crazy boy [7]

Tea : 2 pints lemonade : 2 pints / Tea : 1 pint Lemonade : 3 pints

5 0

3 years ago

10/8c - 4/8 = 6/8 + 5/8c

siniylev [52]

Answer: c = 2

Step-by-step explanation: Solve for c by simplifying both sides of the equation, then isolating the variable.

5 0

2 years ago

What is the domain of the given function?

VARVARA [1.3K]

sorry not the answer i just needed to type this to get free time

8 0

3 years ago

20) Round each number to the nearest hundreds place.

xz_007 [3.2K]

Answer:

Step-by-step explanation:

X X X X . X X X

^ this is the hundreds place

X X X X . X X X

^ this is the hundredths place

a) 300 Because the place behind it is less than 5.

b) 1300 The place in the tens is 5 or greater.

c) 10,000 The place in the tens is 5 or greater which causes the 9 in the hundreds to go up which also causes the 9 in the thousands to go up as well.

d) 1,100

e) 700

6 0

4 years ago