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Snezhnost [94]
3 years ago
12

Solve the given equation. State the number and type of roots. x² + 3x- 4

Mathematics
2 answers:
Rasek [7]3 years ago
5 0

Answer:(x+4)*(X-1)

Step-by-step explanation:

Into two binomial ( x + 4) x ( x -1)

Explanation:

The equation in the

A

x

2

+

B

x

+

C

The C is negative which indicates that one binomial will be negative and one binomial will be positive.

The B is positive which indicates that the positive binomial will be larger than the negative binomial

The B is +3 which tells that the difference in the two factors is 3

so

(x+4)*(X-1)

sesenic [268]3 years ago
4 0

Answer:

x=1, x=-4

Two distinct real roots

Step-by-step explanation:

x² + 3x- 4 = (x - 1)(x + 4)

x=1, x=-4

Two distinct real roots

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Third-degree, with zeros of −3 , − 2 , and 1 , and passes through the point ( 3 , 11 ) .
Masja [62]

Answer:

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )* 11/60

Step-by-step explanation:

Lets   y  =  f(x)   in a cartesian coordinates

Having three zeros:

x = -3       ⇒   x  = -2      ⇒   and   x = 1  

That meas that if   x  takes the above mentioned  values " y " must be zero

therefore  y  must be of the form

f (x)  =  y  =  ( x + 3 ) *  ( x +  2 ) * ( x - 1 )     (1)

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The same reasoning applies for the other two roots

Now we have to evaluate the other condition.

According to problem statement the function passes through the point ( 3, 11 ) , that means that when x =  3 ,  y have to be 11, therefore we plug in equation (1)  that value to see what happens

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )

11  =  ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1)   =  6*5*2  = 60

Then we adjust the expression (1) to meet the condition of the function passing through point  ( 3 , 11) as:

y  =  ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1) * 11/60    (2)

and check to see if we did right

for y to be zero      x   can be    x = - 3    x  =  -2   and  x = 1 in all these cases y = 0.  And if  x  =  3   in equation (2)  y = 11. And that what we want to shown. Then the solution is:

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )* 11/60

8 0
3 years ago
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aev [14]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Hello : 
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