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Bumek [7]
1 year ago
15

What is the discriminant of the quadratic equation 2x² - x - 3=0?

Mathematics
1 answer:
Tamiku [17]1 year ago
6 0

The given quadratic equation is

2 {x}^{2}  - x - 3 = 0

comparing with

{ax}^{2}  + bx + c = 0

We get ,

a = 2 \\ b =  - 1 \\ c =  - 3

formula :

D =  {b}^{2}  - 4ac \\  \\ D =  {( - 1)}^{2}  - 4 \times 2 \times ( - 3) \\  \\ D = 1 - ( - 24) \\  \\D  = 1 + 24 \\  \\D  = 25.

Discriminant of given quadratic equation is 25 .

option (B) 25 ✔

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Find a third degree polynomial function with real coefficients and with zeros 4 and 3+i
Anvisha [2.4K]
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(If you get a zero that is adding or subtracting, you always need to write it twice but change the sign do they cancel out)

f(x) = (x-4)(x-3-i)(x-3+i)

Distributing the last two parenthesis first is always the best way to start off

(x-3-i)(x-3+i) has (x-3) in common so it can be separated to

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(x^2 - 6x + 9) + 1
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Now multiply this with (x-4)
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3 0
3 years ago
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
Viefleur [7K]
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3 years ago
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Verizon [17]
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7 0
3 years ago
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enyata [817]
Be more specific with your question please
5 0
2 years ago
The spring has a stiffness k=200n/m and is unstretched when the 25 kg block is at
g100num [7]
To solve this we are going to use the formula fro the force applied to a spring: F=ks
where
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Since we know the F=ma, we can replace that in our formula and solve for a :
ma=ks
a= \frac{ks}{m}
where
a is the acceleration 
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We can conclude that the acceleration of the block when s=0.4m is 3.5 \frac{m}{s^2}.
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