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swat32
2 years ago
7

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many

Mathematics
1 answer:
Readme [11.4K]2 years ago
6 0

Answer:

= 0

Step-by-step explanation:

-3 = x^2 + 4x + 1

0 = x^2 + 4x + 4

a = 1

b = 4

c = 4

plug the numbers into the equation to find the discriminant value...

4^2 - 4(1)(4)

16 - 16 = 0

therefore your answer is 0

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

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For every 4 regular sodas sold at a market, there are 2 diet sodas sold. What is the ratio of diet sodas sold to the total numbe
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Given f(x)=sec x and g(x)=arcsin x, what is f(g(x))?
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Answer:

Option 1 is correct.

Step-by-step explanation:

Given two functions  f(x)=sec x and g(x)=arcsin x

we have to find f(g(x)).

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As, A=arc(sinx)

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If (3-4i) (x+iy) = 3 root 5<br> show that x^2 + y^2=9/5
NNADVOKAT [17]

Answer:

the answer is 2 + i.

Step-by-step explanation:

Let the square root of 3 + 4i be x + iy.

So (x + iy) (x +iy) = 3 +4i

=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i

=> x^2 – y^2 + 2xyi = 3 + 4i

Equate the real and complex terms

=> x^2 - y^2 = 3 and 2xy = 4

2xy = 4

=> xy = 2

=> x = 2/y

Substitute in

=> x^2 - y^2 = 3

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=> y^4 + 3y^2 – 4 = 0

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=> y^2(y^2 + 4) – 1(y^2 + 4) =0

=> (y^2 – 1) (y^2 + 4) =0

Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.

Therefore y = 1 and x = 2/1 = 2

The required square root of 3 + 4i is 2 + i.

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