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VARVARA [1.3K]
3 years ago
13

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Mathematics
1 answer:
Over [174]3 years ago
7 0

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What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?
PtichkaEL [24]

The value of 'k' in the quadratic Equation    4x^{2}+kx+4=0 having one rational solution is k is 8.

<h3>What is a Quadratic Equation?</h3>
  • Quadratic equations are the polynomial equations of degree 2 in one variable of the type f(x) = ax^{2} + bx + c = 0 where a, b, c, ∈ R and a ≠ 0.
  • The standard form of a quadratic equation is ax^{2} + bx + c = 0 .

Here, the given equation is  4x^{2}+kx+4=0

By comparing the given equation with the standard form of the quadratic equation we get,

a = 4

b = k

c = 4

The given quadratic is having one rational solution, which means b^{2} -4ac=0

Therefore,

k^{2} -4 \times 4\times4=0\\k^{2} -64=0\\k^{2} =64\\k=\sqrt{64} \\k=8

Therefore, the value of k is 8.

Learn more about the quadratic equation is brainly.com/question/8649555

#SPJ4

7 0
1 year ago
A building is in the shape of a right prism with a regular hexagon base and a dome in the shape of a hemisphere covering part of
coldgirl [10]

Answer:

6

2

Half of a

Circle

Step-by-step explanation:

7 0
3 years ago
F(x)=x+7 g(x)=4x^2-9 h(x)=-2x+1 what is the value of g(f(-2)
vovangra [49]

Answer:

g(f(- 2)) = 91

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x), that is

f(- 2) = - 2 + 7 = 5 , then

g(5) = 4(5)² - 9 = 4(25) - 9 = 100 - 9 = 91

7 0
2 years ago
Does anyone know how to do this problem? If so please help so I could get it? Not only the answer but like the formula on how yo
nasty-shy [4]
Kg=1000g
0.25kg x1000g= 250g
3 0
2 years ago
What is the solution to the inequality? 6x - 5 &gt; -29 " x &gt; 6 x &lt; 5 x &lt; 7 x &gt; 2
krok68 [10]

Answer:

x > -4

Step-by-step explanation:

The given inequality is :

6x - 5 > -29

Adding 5 to both sides of the inequality

6x - 5 +5 > -29 + 5

6x > -24

Dividing both sides by 6

x > -4

So, the solution of the given inequality is x > -4.

3 0
3 years ago
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