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3 years ago

Determine whether the polynomial is a difference of squares and if it is, factor it.

Mathematics

1 answer:

ladessa [460]3 years ago

5 0

Answer:

(y - 4)(y + 4)

Step-by-step explanation:

y² - 16 ← is a difference of squares

Since y² and 16 are both squares separated by a difference , that is minus

A difference of squares factors as

y² - 16

= y² - 4²

= (y - 4)(y + 4)

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Answer:

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2 years ago

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ra1l [238]

Answer:

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Step-by-step explanation:

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2 years ago

Three more than the product of a number and 9 is equal to 7.

4vir4ik [10]

Answer:

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Step-by-step explanation:

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3 years ago

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77julia77 [94]

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Step-by-step explanation:

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6 0

3 years ago

5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

8 0

3 years ago