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Aleonysh [2.5K]
3 years ago
14

What is the quotient

Mathematics
2 answers:
ss7ja [257]3 years ago
6 0

Answer:

  4x   +5    \frac{-13}{x+5}

Step-by-step explanation:

         <u> .           4x   +5    </u>\frac{-13}{x+5}<u />

x + 5 | 4x^2 + 25x + 12

        - <u>4x^2 + 20x</u>

                         5x + 12

                         <u>5x + 25</u>

                               -13

tester [92]3 years ago
3 0

Answer:

The quotient is 4x+5  and  the remainder is -13

Step-by-step explanation:

Using synthetic division

-5        4      25   12

Bringing down the 4 and multiplying

-5        4      25   12

        ↓       -20 -25

    ----------------------

         4        5    -13

The quotient is 4x+5  and  the remainder is -13

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Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1) = 0
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Answer:

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Step-by-step explanation:

for the equation

(1 + x⁴) dy + x*(1 + 4y²) dx = 0

(1 + x⁴) dy  = - x*(1 + 4y²) dx

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I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁

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for u= x² → du=x*dx

I₂=  ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ =  - tan⁻¹ (x²) +C₂

then

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therefore

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