1.) Factor and solve both of the following. Show the work/ process. a.) x2 – 8x – 33 b.) 5x2 + 14x – 3 -

Q: If -5 is a root of the quadratic equation 2x2+px-15 = 0 and the quadratic equation p(x2+x)+k=0 has…

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Q: 8. Find m2C. 7. Solve for x: B (9x- 2)° (3x- 2)° (14x-19)° (19x- 3)°. A (9x +7)°

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Q: Consider the following quadratic equation: 64x2 = 9 Step 1 of 2: Using the standard form ax + bx + c…

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Q: Use the Intermediate Value Theorem and Rolle’s Theorem to prove that the equation has exactly one…

A: In the given question, it is required to use Intermediate Value Theorem and Rolle’s Theorem.

Q: If is a solution of the equation 3x then k = %3D

A: Here given that a equation and its solution and we find value of K . Here i attached solution of…

Q: Given P(x) = 3æ° – 5x + x° – 23x? – 44x – 12, and - - - that 2i is a zero, write P in factored form…

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Q: Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

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Q: Use any method to find the solution to: 2x = 16 - 8y x+ 4y = 25

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Q: What value of c makes the following into a perfect square? x² + 24x+c

A: Recall: Let P(x)=ax2+bx+c be a polynomial. P(x) is perfect square if b2=4ac We have a=1, b=24, c=c

Q: If a, b, c are integer powers of 2, prove that equation a³ + b* = c° does not have solution,…

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Q: 7. Given that a and B are the roots of the quadratic equation x? + px + 8 = 0 while 2a and 2ß are…

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Q: 13. Solve for A and B. - 7x +8 A B %3D 3x +x-2 3x-2 x+1

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Q: Expand (x + 4)(x – 5) and use this answer to write down the quadratic equation in the form ax2 + bx…

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Q: solve the given equation or indicate that there is no solution 8x = 9 in Z11

A: The question is to solve

Q: 1-Find the solution of the following quadratic equation using the general (distinct) equation: x2 +…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (4) Find B such that the equation Bx² + x + B O has a repeated real solution. %3D

A: Since you are asking for multiple question according to our guideline we can do only one question at…

Q: Prove that the equation x2(a2+b2)+2x(ac+bd)+(c2+d2)=0 has no real root ,if ad is not equals to bc

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Q: find the all solutions of eguation 2-lo2+25 =-1+3i

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Q: Use the techniques presented in this section to find all solutions of the given equation   2x3 + 6x…

A: Given: To find: all solutions of the given equation     2x3+6x-3=0

Q: (5) Find all integer solutions to the equation w² + 2x² = 7(y² + 2z²).

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Q: The product of all of the solutions of (4x + 2k )(2- 5x)=0 is (-15). Find k.

A: 4x+2k2-5x=0solutions:4x+2k=0    or   2-5x=0x=-k2         or    x=25

Q: 6. Use the Discriminant to determine how many real zeros exist for the quadratic equation 3x + four…

A: answer is option A.)   explanation is given in below step

Q: 12a +3a=7

A: Given Data: Equation: 12a2+3a=7 Factorize the equation. 12a2+3a=712a2+3a-7=0 This can be solved by…

Q: Find k in the equation 4x2 + kx + 1 = 0 so that it will only have one real root.

A: A detailed solution is given below.

Q: Solve the given LDE using the method of undetermined coefficients. (D2-2D+5)y = excosx

A: Given that, The differential equation is following, (D2 - 2D + 5)y = excosx We have to solve this…

Q: メナ) x²+3x+2

A: Method to find Pole for rational function: Firstly find factors of numerator and denominator.…

Q: Is √Ax²+Bx+C still a quadratic? Providing that there is a square root in the equation.

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Q: Determine the value of b so that 4x^2+bx+49 is a perfect square

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Q: 12. Find all solutions. 4x + 56 2 %3D X - 8 x2 - 5x - 24 x + 3

A: Solution: The objective is to solve the given equation

Q: Obtain the solution set of z* - j3z? – 2 = 0. (Hìnt: factoring and quadratic formula)

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Q: Prove that the equation 2x2 + y² 14 has no positive integer solutions.

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Q: 1. Solve the following equations by factoring. a. 0= x² + 8x + 12 b. 0 = x2 – 10x - 24 -212

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Q: 29. Use the quadratic formula to find the roots of the following quadratic: y = 2x² – 11x + 5 -

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Q: Find the set of solutions of: 1x1+1

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Q: Hence or otherwise solve the equation x²y" – 4ry + 6y = In r². %3D

A: The given problem is to find the solution for the given non homogeneous differential equation. Given…

Q: When factoring to reveal the roots of the equation + 212 – 9x – 18 = 0, which equations can be used?…

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Q: Find by the LU factorization method solution of the following equation (2x + 3y = -1 (x=y=1

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Q: Solve the following perfect square trinomial by factoring. 49x2 + 84x + 36 = 0 O x= - O x= - $, § O…

A: The detailed solution is given below Thank you

Q: (4) Find B such that the equation ßx² + x + ß : 0 has a repeated real solution.

A: Question no..4 Note : the equation has a repeated real solution, if the discriminant is 0.

Q: Show that xp-yq=z and x^2p+q=xz are compatible and solve them

A: Given   :   xp-yq =z and  x2p+q =xz To find : Solution of Differential equation

Q: O Solve the fallowing set of three equations by Gramer and by A". X- X2 - 2X3 = | 2 X1 X+ X2 + X3 =…

A: If the determinant of coefficient matrix is 0 then both methods are not applicable.

Q: Solve The fotHawing equations by matnix method 2 X+2%-4군 5X+34-207=0

A: The given system is,x+2y-4z=05x+3y-20z=0-x+7z=0

Q: Use Descartes' Rule of Signs to determine the possible number of positive and negative solutions.…

A: 18. The given polynomial is 8x3-21x2+6=0. Take the polynomial in the above equation as…

Q: (4) Find B such that the equation ßx² + x + B = 0 has a repeated real solution.

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Q: 2: Find the area of the triangle formed by the axes of co-ordinates and the straight line 5x + 7y =…

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Q: What is the complete factorization of 12r° - 3x²? H. = = = BI U S x, x² | E X2 x?

A: Answer

Q: Find the gereral solution wing itegrating factor's retho d. y t x²y -x*= 0

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Q: it is given that α and β are the roots of quadratic equation 2x^2-5x+6=0.Form a quadratic equation…

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Statements and Logic

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