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Travka [436]
3 years ago
5

Х2 - 6х + 40 = (х + 5

Mathematics
1 answer:
fomenos3 years ago
3 0
X^2 - 6x + 40 = x + 5

Solution for quadratic equation

Subtract 40 from both sides.

x^2 - 6x + 40 - 40 = x + 5 - 40

= x^2 - 6x = x - 35

Subtract x from both sides.

x^2 - 6x - x = x - 35 - x

= x^2 - 7x = -35

Rewrite the equation in the form
(x + a)^2 = b

(x - 7/2)^2 = - 91/4

Answer

x = 7/2 + sqroot 91/2,
x = 7/2 - sqroot 91/2

Solution to simplify

Group like terms

x^2 - 6x + 40 = x + 5
x^2 - 6x - x = 5 - 40
x^2 - 7 = -35
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enyata [817]

Formula

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6 0
1 year ago
What is the slope of the points (-5,11) and (0,7)
uysha [10]

Answer:

Step-by-step explanation:

(7 - 11)/(0 + 5) = -4/5

8 0
3 years ago
What are the roots of the equation 2x^2+x=6​
tia_tia [17]

Answer:

(2x - 3)(x + 2)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x^{2} +  x) -  6

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x^{2}+x-6

The first term is,  2x^{2}  its coefficient is  2 .

The middle term is,  +x  its coefficient is  1 .

The last term, "the constant", is  -6

Step-1 : Multiply the coefficient of the first term by the constant   2 • -6 = -12

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   1 .

     -12    +    1    =    -11

     -6    +    2    =    -4

     -4    +    3    =    -1

     -3    +    4    =    1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  4

                    2x^{2} - 3x + 4x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x-3)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (2x-3)

            Which is the desired factorization

(2x - 3)(x + 2)

4 0
3 years ago
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Softa [21]
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Step-by-step explanation:
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3 0
2 years ago
7,945\100 Is the equal as which number?
Katena32 [7]

Answer:

79.45

Step-by-step explanation:

5 0
3 years ago
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