Show by contradiction that if 10x2+ 2 is irrational, then x is irrational. 5

Q: Consider nonnegative integer solutions of the equation xi + x2 + x3 + x4 + x5 + æ6 = 30.

A: The non-negative integer equation is x1+x2+x3+x4+x5+x6=30Since ,xi-number varying from 0 to…

Q: Simplify and express the answer in descending powers of x:2x(x2 + 4x + 5) + 3(x2 + 4x + 5).

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Q: 1 The rational expression can still be decomposed. (9x2 + 16)? A FALSE B) TRUE

A: The rarational expression in implicit form therefore cannot be decomposed

Q: show that the equation x³+x²-3=0 has no rational roots, but that it does have an irrational root…

A: i used rational zeros theorem for proving it has no rational root

Q: B. Find the value of k that makes x2 + (k + 5)x + (5k + 1) a perfect square.

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Q: The reminder on dividing P(x)= 2x³ + 3x? - 4x- 3 by x+ 4 is (-76) True False

A: You can solve this question by performing the Long-division method.

Q: One of the roos of the cquation x+3x-6=0 1s

A: The given equation equation is x2+3x-6=0

Q: 3. Find the value of x. м 5х- 6 2x + 9

A: To Determine: Find the value of x.

Q: 2. Complete the square on the given expression. x² + 6x – 7 =

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Q: What is the coefficient of x16 in (2+x³ – xª)7 ? -

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Q: Which is (are) the root(s) of 64x2−324=0?

A: We will find the roots of the given equation.  We will use (a^2 - b^2) formula in this equation.

Q: Why can't "a-b" equal "b-a"? assuming a and b are nonzero real numbers

A: We have to show that (a-b) ≠b-a  by using a & bare non zero real number

Q: A factor of -64 + x^2 is: О х- 2 O x-4 х-4 O x-8 X - O O

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Q: ow by contradiction that if 5x2+ 3 is irrational, then x is irrational. -

A: Proof by contradiction

Q: If q(x)=0.6x3 3x and a=3, what is q′(a) to the nearest tenth? (Do not include "q′(3)=" in your…

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Q: Find all numbers that must be excluded from the domain of the rational expression : (x - 1) / x2 +…

A: Consider the given equation: x-1x2+11x+10 The denominator can be factorize as…

Q: Simplify and express the answer in descending powers of x: 2x(x2 + 4x + 5) + 3(x2 + 4x + 5).

A: Given: 2x(x2+4x+5)+3(x2+4x+5) To determine: To simplify and express the expression in descending…

Q: if the operaton ☆ is cde fined on the set of rational numbers by solve the equation X * 4= fx*…

A: Solution :  Given that the operation * is defined in the set of rational numbers by    x * y = x + y…

Q: 1 The rational expression can still be decomposed. (9x² + 16)? (A) TRUE B) FALSE

A: The term in the denominator (9x2+16)2 can not be factorized further because it will be of the form…

Q: The reminder on dividing P(x) = 2x³ + 3x2 – 4x – 3 by x+ 4 is (-76) True False

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Q: Find the value of p for which x²– 4x2+ px-8 is exactly divisible by x- 4.

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Q: for what value of m, x²-3mx + m> 0 is proved for any real value of x?

A: Answer

Q: What is the swuare root of 7x-3

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Q: Show, by using the discriminant, how many solutions 2x2-x-5=0  has. must show all work

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by D=b2-4ac.  We have h quadratic…

Q: Which statement about 6x + 7x – 10 is true? O One of the factors is (x + 2). O One of the factors is…

A: To factorise ax2+bx+cwe have to break 'b' in such a waythat sum is 'b' & the product is ac.

Q: The coefficient of x in the expression 3x+4y +5z.

A:

Q: for positive integers, a and b, if the quotient when a is divided by b is q, what are the possible…

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Q: The reminder on dividing P(x) = 2x³ + 3x? – 4x - 3 by x+ 4 is (-76)

A: Explanation of the solution is given below...

Q: 2. Use this expression to answer the questions that follow 7x +5x- 3x2 + 12 - 6x - 4 + x²

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Q: Show that V3 +2/6 is an irrational number.

A: A rational number can be represented as pq, where p, q are integers and q≠0. If a number can not be…

Q: How do I find the break-even point if P(x)=56x-(5x+303682)

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Q: 7) Divide x2 - 4x + 11 by x - 3 Show to So Solve by What -( What 1). remainder.

A:

Q: What is the coefficient of x9 in (2 − x)^19.

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Q: How many nonnegative integer solutions of x₁ + x2 + x3 + 4 = 12 are there in which no r; exceeds 4?…

A: The given problem is to find that number of nonnegative integer solutions for the given equation…

Q: You should enter the coefficients of the powers of x of the sum in the boxes. 7(-2x? – 9x – 7) – 7…

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Q: of Find [lo9.(x²+1)|

A: Here, the objective is to evaluate the given differentiation.

Q: What are the IRRATIONAL ZEROS of  P(x)=8x^5-14x^4-22x^3+57x^2-35x+6 (enter all answers including…

A: To find all the IRRATIONAL ZEROS of

Q: Show that the real number V2- 2 is algebraic.

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Q: V2 is real number, then v2 is a rational number.

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Q: Show that if r is a rational number, then 2r2+3r+ 1 is rational as well.

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Q: X43 「3x3ー10x-29X484

A: We are asked to divide the polynomial

Q: 1. Joseph wants to find the side length of a square that has an area of 150 feet. Should his answer…

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Q: Find the value of x for which (8x+4) , (6x-2) and (2x+7) are in AP

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Q: If p(x) = 7x+9 then p(2)=?

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Q: If q(x)=0.6x33x and a=3, what is q′(a) to the nearest tenth? (Do not include "q′(3)=" in your…

A: Firstly, we find the derivative of q(x) by using product rule of differentiation which states that…

Q: Find the set of values of k for which 12-4x-3x |=k has two distinct solutions.

A: If a quadratic equation has distict root iff b^2-4ac not zero

Q: 9. What is the largest integer value of k for which the equation x2 - 6x + k = 0 gives a real number…

A: