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4 years ago

Use Vieta's Theorem to solve the problems.

Mathematics

1 answer:

VladimirAG [237]4 years ago

4 0

Answer:

The answer is -2, -17

Step-by-step explanation:

You write a system of equations

$x_{1} +x_{2}=-19\\x_{1}-x_{2}=15$

Then you solve:

-2, -17

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What <br> shape did the points make?

Misha Larkins [42]

Answer:

I think that you forgot to post the picture

Step-by-step explanation:

5 0

3 years ago

Identify all factors of the expression 〖4x〗^2+17x-15.

Basile [38]

The factors of given expression are: -5 and 3/4

Step-by-step explanation:

Given equation is:

$4x^2+17x-15$

Making pairs for the mid-term 17x by factoring the product of co-efficient of 4x^2 and 15

$4x^2+20x-3x-15$

$= 4x(x+5) - 3(x+5)$

$=(4x-3)(x+5)$

Now

$4x-3 = 0\\4x = 3\\x = \frac{3}{4}$

$x+5 = 0\\x = -5$

Hence,

The factors of given expression are: -5 and 3/4

Keywords: Quadratic equation, factors

Learn more about quadratic equation at:

#LearnwithBrainly

8 0

4 years ago

Can anyone simplify this? <br> 4x - 3(x - 2y) + 1/2(6x - 8y)

GaryK [48]

$4x - 3(x - 2y) + 1/2(6x - 8y) \\ 4x - 3(x - 2y) + 0.5(6x - 8y) \\ 4x - 3x + 6y + 3x - 4y \\ 4x + 2y$
Answer is 4x+2y

5 0

3 years ago

Find all zeros.

Aleks [24]

Answer:

look at degree of polynomial

Step-by-step explanation:

6 0

3 years ago

Yis inversely proportional to the square of x.

PtichkaEL [24]

Answer:

(a) $y = \frac{4}{x^2}$

(b) $x = \frac{2}{5}$

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

$y\ \alpha\ \frac{1}{x^2}$

See attachment for table

Solving (a):

First convert variation to equation

$y = k\frac{1}{x^2}$

From the table:

$(x,y) = (1,4)$

So, we have:

$4 = k * \frac{1}{1^2}$

$4 = k * \frac{1}{1}$

$4 = k * 1$

$4 = k$

$k = 4$

Substitute 4 for k in $y = k\frac{1}{x^2}$

$y = 4 * \frac{1}{x^2}$

$y = \frac{4}{x^2}$

Solving (b): x when y = 25.

Substitute 25 for y in $y = \frac{4}{x^2}$

$25 = \frac{4}{x^2}$

Cross Multiply

$25 * x^2 = 4$

Divide through by 25

$x^2 = \frac{4}{25}$

Take positive square roots of both sides

$x = \sqrt{\frac{4}{25}$

$x = \frac{2}{5}$

4 0

3 years ago