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AnnyKZ [126]
3 years ago
14

What are the possible values of x

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

It can be from-infinity to +infinity

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Roots of Quadratics 50 PTS!!!
noname [10]

The values of k for the different quadratic equation solutions are as follows

a  the equation 2x² - x + 3k = 0 has two distinct real roots

  • k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

  • k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

  • k > -3.25

d the equation 3kx² - 3x + 2 = 0 has no real solutions

  • k < ± 1.633

<h3>How to solve quadratic equations to get different answers</h3>

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

-b+\frac{\sqrt{b^{2}-4ac } }{2a}     OR     -b-\frac{\sqrt{b^{2}-4ac } }{2a}

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

  • b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

  • b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots  -x² + 3x + (k + 1) = 0

  • b² - 4ac > 0

substituting the values gives  

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get  no real solutions  3kx² - 3x + 2 = 0

  • b² - 4ac < 0

substituting the values gives  

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

Learn more about roots of quadratic equations: brainly.com/question/26926523

#SPJ1

4 0
11 months ago
Read 2 more answers
Simplify: (64^-1/2)^-2/3
Ede4ka [16]

This = 64^( -1/2 * -2/3)

= 64 ^ 1/3

= cube root of 64

= 4 answer

5 0
3 years ago
Solve the equation<br> 5x = 20<br> X=. Pls helps fast test due soon! lol
hodyreva [135]

Answer:

x=4

Step-by-step explanation:

8 0
3 years ago
I am thinking of a number. when it is increasd by 7, it equals 21. what is my number
andrey2020 [161]
If X is increased by 7 to make 21
X + 7 = 21
then rearrange the equation to get X
X = 21-7
X = 14(b)
6 0
3 years ago
Read 2 more answers
PLEASE HELP <br><br>find the sum of (2c+5d) and (6c-8d) ​
liraira [26]
8c-3d is the correct answer
7 0
3 years ago
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