Category: Mathematics

Real number….

(1) Prove that square root 5 IA irrational

(2) Prove that 3+2 square root 5 is irrational

Polynomial…..

(1).Find the zeroes of following quadratic Polynomial and verify the relationship between the zeroes and the coefficient

(i) x-2x-8

(ii) 4s-4s+ 1

(iii)6x-3-7x

(2) Find the value quadratic Polynomial each with given as the sum add product of its zeroes respectively

(i)4,1

(ii)(1/4. ,-1)

Pair of linear equation in two variables……

(1) On comparing the ratio a/a,b/b and c/c,Find out whether the lines represented the following pairs of linear equation intersection at a point are parapllaparallel or coincoincident

(i) 5x-4y+8=0. , 7x+6y-9=0

(ii) 9x+ 3y +12=0. , 18x +6y+24

I am good math

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I need help solving quadratic equations. I know the formula x = frac{-b pm sqrt{b^2 – 4ac}}{2a}, but I want a step-by-step explanation with an example.

For example, solve: 2x^2 + 5x – 3 = 0.

Please explain each step clearly, including how to:

• Identify a, b, and c
• Calculate the discriminant (b^2 – 4ac)
• Apply the quadratic formula
• Find both solutions

I also want tips to avoid mistakes and understand why each step works.

Define the function

(

)

=

{

2

sin

?

(

1

2

)

,

0

,

0

,

=

0.

f(x)=

x

2

sin(

x

2

1

),

0,

x

=0,

x=0.

(a)

Prove that

(

)

f(x) is continuous at

=

0

x=0.

(b)

Determine whether

(

)

f(x) is differentiable at

=

0

x=0. If so, find

(

0

)

f

(0).

(c)

Find an explicit formula for

(

)

f

(x) for

0

x

=0.

(d)

Decide whether

(

)

f

(x) is bounded on any neighborhood of

=

0

x=0.

(e)

Determine whether

(

)

f

(x) is Riemann integrable on

[

1

,

1

]

[1,1].

3x+2x=6

2x + 3x=5

Algbric question,factorization

Attached Files (PDF/DOCX): 1200_HW4.pdf

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Attached Files (PDF/DOCX): 1 EXAMPLE Math Journal Template.pdf, 2 2004_10_Big_Ideas.pdf, 3 2004_Writing_in_Math.pdf, 4 2001_Math_Journals.pdf, Updated Instructions Aug 16.docx

Note: Content extraction from these files is restricted, please review them manually.