Find the degree of the polynomial 9x^3 y6 + 2.5xy + x^2 .

1 answer:

6 0

The degree of the polynomial is 9 ( not determined by the first number)
The degree of a polynomial is the highest exponent.
Here the highest exponent is 6 but since y is not a term on its own, you add the exponent of the term together.

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Which are the solutions of x² = 19x + 12

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Answer:

$\{x=\frac{19-\sqrt{409} }{2}\ , \ x=\frac{19+\sqrt{409} }{2}\}$

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

$x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}$

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