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krok68 [10]
2 years ago
9

Solve the quadratic equation y^2 −10y+21=0 y=?

Mathematics
1 answer:
Firdavs [7]2 years ago
8 0

Answer: y = 3 or y=7

Step-by-step explanation:

y^{2} -10y+21

what 2 factors of 21 can equal 10 when added together (1*21- no 3*7- yes)

Factor

(y-3)(y-7)

y-3=0

y=3

or y-7=0

y=7

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
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Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

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Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

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then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

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Answer :

no. of solutions for the eqn 10626

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