1. Find how many real solutions x2 + 6x + 24 has. What are those solutions (real or otherwise)?

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: What are the solutions to (x - 10)(x + 12 O-10 and 12, O-10 and -12 10 and -12 10 and 12

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Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

A: Sol

Q: 13. Find the solution set of b) 14x – 1| > |2x + 3| + 1

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

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Q: Find and show on the real number line the solutions set of the in equality. 1. l 7 - 4x l ≤ 9 2. l…

A: Since you have posted two questions, we will solve first question for you. To get another question…

Q: Solve the Matsisc M amented x,+2x2-3x3-2x4t4xs =1 2x +52-8x3. -C4 + 6>cs =8

A: The given system of equations are, x1+2x2-3x3-2x4+4x5=12x1+5x2-8x3-1x4+6x5=8x1+4x2-7x3+5x4+2x5=8 The…

Q: If a, b, c are in GP, then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root…

A: Given a,b,c are in g.p So the ratio will be same ba=cbb2=acb=ac ---- {1}

Q: Determine k such that kx² – 4x+- 0 has real and different solutions.

A: Let us consider a quadratic equation ax2+bx+c=0 then the solution for the equation is x=-b±b2-4ac2a…

Q: Give the complete solution to x*+16=0.

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Q: 4) Find the number of real and nonreal solutions for x3- x2 +3x -3 = 0

A: We have to find out

Q: The value of x such that 8x + 4, 6x – 2, 2x+7 will be consecutive terms in an AP is

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Q: Use the fact that x'-6x = 2 has no integer solution to prove there do not exist 3 consecutive…

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Q: x- 7x2 + 10x = 0 has solutions 1, 5, and 2. O True False

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

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Q: find all real solutions of 1/x-1+1/x+2=5/4

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

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Q: What are the solutions to x² - 8x = 0? O x = 0 and x = -8 O x = 0 and a = 8 O x = 0 and x = = v8 O x…

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Q: I. Find the solution set of the following. 2. 3x²+2x³7x² - 4x +2=0

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Q: = (; ). -3 Find the general solutions of X' = AX with A = 1 -2

A: Consider the provided question,

Q: Let 1 2 -1 A = 2 4 -2 -2 Describe all solutions of A = 0. * = x2 +x3 +x4

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Q: Solve the following for x: 3x2-x-12= 0

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Q: find all real solutions of 10/x-12/x-3+4=0

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Q: 19. Find the exact solutions and simplify as much as possible: 2x2 + 9 = 12x. Show work.

A: Given equation:

Q: the set of solutions of X2-X-6%3D0 is

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Q: %23 Find the only solution. 5x – 7 3 - 7 x +5

A: To find the only solution of the following equation,

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: Find the real solutions of x2 - x - 1 = 0.

A: x2−x−1=0x=−b±b2−4ac2aHere,x=−−1±−12−4⋅ 1⋅−12⋅ 1

Q: If [x² - 2x + a] = 0 has no solution, then find where [] represents the greatest integer).

A:

Q: 4. How many positive integer solutions are there to the equation: X1 + x2 + .…+ x6 = 20

A: Formula: The number of positive integer solutions to the equation x1+x2+x3+···+xr =n are Cr-1n+r-1.…

Q: 1 Solve for x, x4 7 + 8 = 0 x2

A: The given equation is: 1x4-7x2+8=0⇒1-7x2x4+8=0⇒8x4-7x2+1=0 Let, x2=w, so the above equation becomes:…

Q: What are the solutions of 10x +27x² – 55x - 12? 13土7i O x = -4, 10

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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: Find the general solution to 22" +3ry = 2x3, r> 0. x>0.

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Q: How many positive integer solutions are there to x1 + x2 + x3 =15 ?

A: From the given information we want to find How many positive integer solutions are there to x1 + x2…

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: Find the solutions that can be read from the simplex tableau. X₁ X2 X2 X3 X3 S1 9 0 7 5 0 6 2 1 0 -8…

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Q: (4) Find ß such that the equation ßx² + x + B = 0 has a repeated real solution. 100

A: We have to find the value of beta.As per guideline we have to solve only one

Q: 2) Determine k such that kx² – 4x+= : 0 has real and different solutions.

A:

Q: What are the solutions to (6x + 1)(x - 7) = 0? 1/6,7 O 1/6, -7 O-1/6, 7 O-1/6,-7

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Q: Find k such that the equation x2 - kx + 4 = 0 has a repeated real solution.

A: Given x2-kx+4=0 has repeated real solution. Repeated real solution means the roots are real and…

Q: State the discriminant of 6x^2−2x+k, and state for which values of k would result in two different…

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Q: 6. Given the equation x1 + x2 + X3 + x4 = 40, where x1, x2, X3, and x4 are integers. How many…

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Q: Find and show on the real number line the solutions set of the in equality. 1. l 3x - 2 l ≥ 4

A: Concept |x| 1 . When absolute value is positive |x| will be x 2. When absolute value is negative |x|…

Q: For what values of b the equation       x2 - 4x + 4b = 0 has two real solutions?

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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: For what values of k will the quadratic equation x2 + kx+ 16 = 0 have two equal real roots?

A: The values of k are, - 8 & 8.

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

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