1. Frove that the rcots of 20x2+x-9=290 are rational for all rational values of a 2. Determine for the values (5) of PIf the roots Of (p-3) 18=-212 are unequal

Q: Determine the solution(s) to x that satisfy the following equation: (x² + 5x + 5)(x²-6x+5) = 1

A: If x2-6x+5=0 and x2+5x+5≠0 then x2-6x+5=(x-5)(x-1)=0 this implies x=5 and 1. If x2+5x+5=1 then…

Q: If the operation is defined on the set of rational numbers by xy = x + y – 2xy solve the equation x…

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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: State the possible rational zeros for the function. S(x) = x² + 9x- 12

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Q: 1. Solve the lowest term of the following rational expres= functions. Show your complete solutions.…

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Q: In the diagram, ABDE is a rectangle, ABCD is equilateral, and AD is parallel to BC. Also, AE = 2x…

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Q: 6. Find the values of k that will make the roots of 3x2- kx +12 = 0 ea

A: Please refer to the image below

Q: 4. Consider this polynomial: P(z) = 2r² – 72² – 5z +4 a) By the Rational Zeros Theorem, list all…

A: The given problem is to find the possibile rational zeros, then find the rational zeros and rewrite…

Q: Find the rational roots of equation x³+3x²-14x+8

A: Given equation is: x3+3x2-14x+8=0 We have to find the rational root of the above equation.

Q: Determine the solution(s) to x that satisfy the following equation: (x² + 5x + 5)(x²-6x+5) = 1 HINT:…

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Q: り Gx1411v-4x2+31x-8=0 2.) 8xf 1x3_1fx²+x+3 = D

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Q: Find all the real roots of given that 121/2/2 7 is one of them. p(x) = 7x³ + 19x² - 2x - 24

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Q: A Find the complete set of possible rational roots of the following polynomial equations. 154 2.…

A: To complete the set of possible rational roots.

Q: Find all your solution. Show -

A: According to our guidelines we can answer only first question and rest can be reposted.

Q: 3. Suppose x = (5-√3)¹/3. Show that x is a solution of the equation x6 – 10x³ + 22 = 0. Use the…

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Q: Given the polynomial y = 10x³ – 27x? + 15x – 2, a. list all possible numerators for rational roots…

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Q: If the roots of equation x² - 2cx + ab = 0 are real and unequal, - then prove that the roots of x²…

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Q: Multiply the 1st equation by 2 to make -10y. 2x - 5y = -12 3x + 10y = 50

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Q: you can find _____ that you cant measure directly? Angles or lengths

A: you can find _____ that you cant measure directly? Angles or lengths

Q: Solve only part  C

A: Given information Part(c):- x2k +3xk+1 -12,   k≥1. Take Px = x2k +3xk+1 -12

Q: The following statement expresses the two roots to a quadratic equation, according to the quadratic…

A: x=−(−1)±(−1)2−4(2)(−6)2(2)

Q: a) write down the polynomial b) Find the number of zeros (i.e. solutions) the polynomial has c) List…

A: According to the guideline we should have been able to solve only one question at a time

Q: Answer the following questions with solution. (Use 6x^3 − 5x + x^4 − 25 in answering the questions.)…

A: Let's find.

Q: 1. Use synthetic division and factor theorem to solve the below equation: −3?3 + 140 − 139? + 38?2 =…

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: If P(-2) = 0, which of the following statements is true about P(x)? *   A.) x + 2 is a factor of…

A: we know that when we write a polynomial p(x)=(x-a)(x-c)(y-b) then p(a) =p(b) =p(c) =0 that's if p(a)…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.