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labwork [276]
2 years ago
11

Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radic

al form, to be x
Mathematics
1 answer:
julsineya [31]2 years ago
4 0

Since the value of the discriminant (-19) < 0, no real solution(s)/root(s) exist for the equation. Thus, we can choose the first option:

"Zero, because the discriminant is negative".

A quadratic equation is a polynomial of degree 2, in a single variable x.

The standard form of a quadratic equation is ax² + bx + c = 0.

The quadratic formula is used to find the solution(s)/root(s) of this equation.

The quadratic formula is:

x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}

In this formula, b^2-4ac is called the discriminant (D).

The solution(s)/root(s) of the equation, depends on this discriminant value as follows:

  • When D > 0, the roots of the equation are real and distinct.
  • When D = 0, the roots of the equation are real and equal.
  • When D < 0, then no real roots exist.

In the question, we are given that the simplest form of Quincy's equation in the radical form was,

x = \frac{-3 \pm \sqrt{-19} }{2}.

Comparing this to the quadratic formula,

x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}

we get the discriminant (D) = -19.

Since the value of the discriminant (-19) < 0, no real solution(s)/root(s) exist for the equation. Thus, we can choose the <u>first option</u>:

"Zero, because the discriminant is negative".

Learn more about discriminant at

brainly.com/question/14072293

#SPJ1

For complete question, refer to the attachment.

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Select all values equivalent to -10/7<br> -10/-7<br> -3 1/7<br> 1 3/7<br> - -10/-7<br> -1 3/7
Kitty [74]
We know that

case 1) -10/-7-----> 10/7-------> is not <span>equivalent to -10/7

case 2) </span>-3 1/7----> (-3*7+1)/7----> -20/7 ------> is not equivalent to -10/7

case 3) 1 3/7-----> (1*7+3)/7----> 10/7 ------> is not equivalent to -10/7

case 4) - -10/-7---> +10/-7----> -10/7------>  is equivalent to -10/7

case 5) -1 3/7----> (-1*7+3)/7----> -4/7 ------> is not equivalent to -10/7

the answer is
- -10/-7

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3 years ago
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Umnica [9.8K]
Range is 1 because they all go up by 1
8 0
3 years ago
What is the number? I did many ways but i didn't found it, please guys help me with it. ​
Advocard [28]

Answer:

A). 15

B). -1.2

Step-by-step explanation:

A). [10(x+3)]-20 = 160

10x+30-20 = 160

10x+10 = 160

10x = 160-10

10x = 150

x = 150/10

x = 15

B). 5{[4(8+(5x))]-9} = 85

5(32+20x+9) = 85

5(32+9+20x) = 85

5(41+20x) = 85

205+100x = 85

100x = 85-205

100x = -120

100x/100 = -120/100

x = -1.2

----------------------------------------------------------------------

HOPE THIS HELPS!!!

3 0
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Answer: Sorry if it's wrong I hope I helped you

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