If Va and Vb are real numbers and b + 0, the quotient rule for radicals states that a

Q: 1. Discuss the possibilities for the roots to : 2x-5x -6x+4 = 0

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Q: Simplify. Your answers should only contain positive powers. (-5x6 y3)2 (2x3 y5)

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Q: Find the values of k for which the equation x3+5kx+16=0 has no real roots

A: Given- x2+5kx+6=0 To Find- The value of k for the above quadratic equation has no real roots.…

Q: 2v-40a5b2

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Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

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Q: give the form for xp if the method of undetermined coefficients were to be used. You need not…

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Q: 7) Find the fifth roots for -16-16/3i

A: To find: 5th roots for -16-163i           ……1

Q: What two positive real numbers whose product is 22 have the smallest possible sum? The numbers are…

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Q: Find the roots of 3t2-16t+20

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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: Perform the indicated operation x2-4x-32/ x2+9x+20 /   x2-2x-48 / x2+3x-4 (first equatios divided…

A: after simplification of the above equation we get x2 +3x-4x2+11x+30 detailed solution is given below…

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: * if a^2 - 4b =0 then the roots are

A: Assuming that the given equation a2-4b=0 is a quadratic equation ,where 'a' is a variable and 'b' is…

Q: Determine the set of values of k for which the equation (3-2k)x + (2k – 3)x+1 = 0 has no real roots.

A: For no real solution of quadratic equation, Discriminant (D) < 0

Q: simplify the radical that is nor a perfect square √75x^7y^5

A: Simplify the redical that is nor a perfect square.   √ (75x7y5 ) . Here i attached solution of this…

Q: For which values of k will the equation x^2 - 5×- k have equal roots

A: We have to solve given problem:

Q: Find the sum and product of the roots. 1.) x2 + x - 20 = 0

A: topic - sum and product of roots

Q: Find the values between which the expression x2-4x+3/x2+3  lies where x is and an element of real…

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Q: Find the 5th roots of 9. -16/2 + 16vZi

A: =12+32i9De Moivre's theorem;=cosπ3+i sinπ39= eiπ39=ei3π=cos3π + isin3π=-1

Q: Find the length of side x in simplest radical form with a rational denominator. 4 [coefficient] O 2…

A: Given figure is :   To find the value of x

Q: find the roots 4x^5-21x^3+27x=0

A: Given that: 4x5-21x3+27x=0 To solve the given polynomials:…

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

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Q: Find the roots of the given  4x2+4bx-(a2-b2)=0

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Q: Solve for X, and check the extraneous roots. X/(X + 4) =11/(X2 -16) + 2/1

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Q: Factor the algebraic expressi 7x +63 -

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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: 1. State the zeros of each by first rewriting the equation in factored form: a) y= x² - 6x – 16 b) y…

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Q: If B = x -9 and C = 2x + 5+ 5x², find an expression that equals 2B + 2C in standard form.

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Q: If D = 1- x2 and C =-1- 3x2 + 4x, find an expression that equals 3D -3C in standard form.

A: Simplification

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

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Q: what is the translation of the square root of x - 2

A: Let y is the square root of x-2 i.e. y=x-2 which is called a horizontal shift ( y=x-h where h is any…

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: 3x' +8y? +9x" =8x'+9x6 How many non-real roots does poly, have How icrational roots does poly have?…

A: A polynomial of highest degree n has total number of n roots which includes both real and…

Q: If C = 2 + 4x and D = 2x – 2, find an - expression that equals 3C + D in standard form.

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Q: The real roots of the equation 7197(x²–4x+5) = X-1 are-

A: Introduction :

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

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Q: 1. Determine the value of n if one of the roots of 2x2 - 16x + n = 0 is 4-7. |

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

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Q: Use complex analysis to prove the formula 2n n 7 7n V 3 n=0

A: It is given that

Q: The product rule for square roots states that if a and b are nonnegative, then √ab =______.

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Q: Use substitution to find the indefin x + 3x x* + 6x? 4 -1

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Q: If x and y are real numbers, what is the simplified radical form of (x2y5)1/5?

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Q: simplify the radical √36x^2y^3

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Q: Find the exact roots 1/4x² + 3/2 x³ + 1/2x²-9/2x-15/4-0

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Q: If B=x-9 and C=2x+5+5x^2, find an expression that equals 2B+2C in standard form.

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Q: 2. Isabel believes that f(x) = x3 - 9x2 + 27x - 27 has 3 complex roots. Nicky told her that it has 4…

A: Here we will use some basic results.

Q: Find the sum and product of the roots. 1.) x2 - 6x + 18 = 0

A: we have  to determine the sum and product of the roots