Mathematics, 12.03.2022 17:10, shenothomas688

1.) WHat are the real zeros of the function y=x(x-2)(x+3)

2.) Find all of the solutions of the equation
x^3 -x^2 +5x - 5 = 0

Answers: 3

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Answers

answered: JamesLachoneus

Problem 1

The roots are x = 0, x = 2, x = -3

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Explanation:

The term "root" is another way of saying "zeros of a function" or "x intercept".

To find the roots, set each factor equal to zero and solve for x.

x-2 = 0 solves to x = 2, while x+3 = 0 solves to x = -3

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Problem 2

Roots are x = 1, $x = i\sqrt{5}$ and $x = -i\sqrt{5}$

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Explanation:

Factor by grouping

x^3 - x^2 + 5x - 5 = 0

(x^3 - x^2) + (5x - 5) = 0

x^2(x - 1) + 5(x - 1) = 0

(x^2 + 5)(x - 1) = 0

x^2 + 5 = 0 solves to the roots $x = i\sqrt{5}$ and $x = -i\sqrt{5}$

x-1 = 0 solves to x = 1

Note: $i = \sqrt{-1}$

answered: twinchristiansp4xhd2

1) Wat are the real zeros of the function y=x(x-2)(x+3):

$x_{1} = -3 ; x_{2} = 0; x_{3} =2$

To find the x-intercept, set y = 0:

x( x -2 ) ( x + 3) = 0

Apply the Zero Product Property:

x - 2 = 0 or x + 3 = 0

x = 2 or x = -3

Find the union of solutions:

x = 0 or x = 2 or x = -3

2) Find all of the solutions of the equation

x^3 -x^2 +5x - 5 = 0

x = 1 or no real solution

Apply grouping:

$(x^{3} -x^{2} ) + *(5x-5)=0$

Factor out common factor:

$x^{2} (x-1) +5(x-1)=0$

Factor out --> $(x-1)(x^{2} +5) =0$

Apply zero product property:

x - 1 =0 or $x^{2} +5 =0$

x - 1 = 0

Rearrange variables to the left side of the equation--> x=1 or no real solutions.

answered: Guest

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,

0 = ( 2 - 4 ) ( p + q )0 = ( 2 - 4 ) ( 2 + 5 i ), by multiplying these0 = ( 4 + 10 i - 8 - 20 i )0 = 4 - 8 + 10 i - 20 i0 = - 4 -10 i 0 = 2 ( - 2 - 5 i )0 / 2 = - 2 - 5 i- 2 - 5 i = 0- 5 i = 2i = 2 / - 5

answered: Guest

i need on these three questions. find standard form equation of line perpendicular to y = (2/3)x - 8 that goes through the point

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1.) WHat are the real zeros of the function y=x(x-2)(x+3)

2.) Find all of the solution...