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larisa86 [58]
3 years ago
7

Compute the value of the discriminant and give the number of real solutions of the quadratic equation.

Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer:

2 reals and 2 rationals.

Step-by-step explanation:

The discriminate gives

b^2 - 4*a*c

b = -7

a = 5

c = 2

(-7)^2 - 4(5)(2)

49 - 40

9

Taking the square root gives you +/-3

The discriminate tells you that there are 2 roots, both real and both rational

x = [(-7) +/- 3  ]/2*5

x = (- 7 - 3)/10 = - 1

x = (- 7 + 3)/10 = -0.4

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aev [14]
Well you need to find a common denominator which 30 is the closest one. 5/6 becomes 25/30, 9/10 becomes 27/30. 27/30+ 25/30 = 52/30. To simplify that you divide by 2 to get 26/15. It is no longer divisible to a whole number after that point.
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3 years ago
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gulaghasi [49]

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4 0
3 years ago
What is 5 to the power of 5 - 9 (200 divided by 4) - (10x90) divided by 5 - (4 to the power of 4) x 5 + 156 - 256
yanalaym [24]

5^5-9(200/4)-(10*90)/5-4^4(5)+156-256

= 3125-9( 200/4)-(10*90)/5-(4^4)(5)+156-256

= 3125-(9)(50)- (10*90)/5-(4^4)(5)+156-256

= 3125-450- (10*90)/5-(4^4)(5)+156-256

= 2675-(10*90)/5-(4^4)(5)+156-256

= 2675 - 900/5 - (4^4)(5)+156-256

= 2675 - 180 - (4^4)(5)+156-256

= 2495 - (4^4)(5)+156-256

= 2495 - 1280 + 156 -256

= 1215 + 156 - 256

= 1371 - 256

= 1115


I hope that's help , please if you have question(s) just let me know !


6 0
3 years ago
On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).
Semenov [28]

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9

7 0
3 years ago
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