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katovenus [111]
3 years ago
12

What are the two solutions of 2x^2 = -X^2 - 5x - 1?

Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

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2 years ago
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7 0
3 years ago
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Tamiku [17]
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3 0
3 years ago
Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is kevin now?
puteri [66]
K = Kevin's age
D = Daniel's age

K = 3D

K - 4 = 5(D - 4)

Plug in 3D for the K values in the second equation.

3D - 4 = 5(D - 4)   Use the Distributive Property
3D - 4 = 5D - 20   Add 4 to both sides
     3D = 5D - 16     Subtract 5D from both sides
    -2D = -16            Divide both sides by -2
       D = 8 
 Now, plug that D value into the original equation.

K = 3D    Plug in the D value
K = 3(8)   Multiply
K = 24

Finally, you can double check your math.

4 years ago, Daniel would've been 4 and Kevin would be 20, so Kevin would've been 5 times as old as Daniel.  And 8 x 3 = 24.

So, Kevin is 24.
3 0
3 years ago
Read 2 more answers
Find the volume of the solid figure​
ololo11 [35]
8x4x11 - (4x1x3)
352 - 12
= 340

The answer is 340yd^3
5 0
3 years ago
Read 2 more answers
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