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3 years ago

Obtain all zeros of x^4-7x^2+12, if two numbers of its zeros are √3 and -√3

Mathematics

1 answer:

iogann1982 [59]3 years ago

4 0

Answer:

Step-by-step explanation:

x^2=u

u^2-7u+12=0

(u-3)(u-4)=0

u=3,4

x^2=3,4

x^2=3

x = ±√3

x^2 = 4

x=±2

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Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?

Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

$\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c$

Add and subtract the half of the square the coefficient of x,

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$\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c$

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

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2 years ago

Solve for q. k = 4pq²

9966 [12]

K = 4pq^2
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7 0

3 years ago

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f(x) = 4x^2+2x+6f(x)=4x 2 +2x+6f, left parenthesis, x, right parenthesis, equals, 4, x, squared, plus, 2, x, plus, 6 What is the

vladimir2022 [97]

<u>Given</u>:

The given function is $f(x)=4x^2+2x+6$

We need to determine the value of the discriminant f and also to determine the distinct real number zeros of f.

<u>Discriminant</u>:

The discriminant can be determined using the formula,

$\Delta = b^2-4ac$

Now, we shall determine the discriminant of the function $f(x)=4x^2+2x+6$

Substituting the values in the formula, we have;

$\Delta=(2)^2-4(4)(6)$

$\Delta=4-96$

$\Delta=-92$

Thus, the value of the discriminant of f is -92.

<u>Distinct roots:</u>

The distinct zeros of the function f can be determined by

(1) If $\Delta>0$ , then the function has 2 real roots.

(2) If $\Delta=0$ , then the function has 2 real roots ( or one repeated root).

(3) If $\Delta$ , then the function has 2 imaginary roots (or no real roots).

Since, the discriminant is $\Delta=-92 \ < \ 0$ , then the function has no real roots or 2 imaginary roots.

Thus, the function has 2 imaginary roots.

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3 years ago

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mojhsa [17]

1.) The answers:

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2 years ago

Can some body help me?

maksim [4K]

Answer:

Step-by-step explanation:

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3 years ago

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