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

Q: Use the quadratic formula to solve for x. 2x2 - 3x-7=0 (If there is more than one solution, separate…

A:

Q: Given that (x−2)(x−2) is a factor of x^3+x^2−5ax+2a^2 , 'a' can take the value of 2 or which other…

A: Given,           (x−2)(x−2) is a factor of x3+x2−5ax+2a2.

Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Step:-1 Statement:-  Given Statement is  a3 +b4 =c5 ----(1) Counter Example:-  Take a=28,  b=26  and…

Q: A piggy bank was filled with only quarters ($0.25) and nickels ($0.05). If there was exactly 51…

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Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminantindicate about the number…

A: The discriminant of 4x2 - 8x + 1 = 0 is:

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: 3K4 Given: 22 24 Prove: 1 3

A: Straight angle is 180

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 and check for extraneous solutions root(7x+1)=2 +root (3x+1)

A: Solution:Given  root(7x+1)=2+root(3x+1)To solve and check for etraneous solutions.

Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: What value for a will result in an equation with infintely many solutions? a(x + 5) = 3x + 15

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Q: How many non-negative integer solutions are there to the equation rị + *2 + x3 = 21

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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: fa is a root of the equation 4x² + 2x - 1 = 0, then prove that ²3 is the other root

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Q: Indicate all integer solutions, congruent to 7, of the equation 2" = y. What if we replace 7 and 2…

A: Solution :       2x = y (mod 7)     Now if x = 0,then 20 = 1 = y (mod 7)     So, (0,1) is one…

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: Use the guadratic formula to solve for x. 7x+3x-2 0 (If there is more than one solution, separate…

A: Using Quadratic Formula to find value of x.

Q: Show that the equation x2 + y2 = 2003 has no solutions in the integers.

A: Consider the given equation: Here the objective is to show that the above given equation has no…

Q: x" 1omua

A: As per the instruction, we will be solving only the first-mentioned question. For (5), Here,…

Q: Solve. (4и— 3) (9+ и) %— 0 (If there is more than one solution, separate them with commas.) ?

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

A:

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: Look at the following solution. What went wrong x(6x - 1) = 0 6x-1=0 Zero-factor property 6. The…

A: given,     x(6x-1)=0

Q: A part of Jennifer's work to solve the equation 2(6x^2 - 3) = 11x^2 -x is shown below. Given: 2…

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Q: How many non-negative integer solutions are there to the equation x1 + x2 + x3 = 13, if we insist…

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Q: Compute the discriminant of 3x2 - 2x + 5 = 0. What does the discriminant indicate about the number…

A: Given: 3x2-2x+5=0 we know that every quadratic equation has two solutions, if DiscriminantD of…

Q: a. How many positive integer solutions are there to the equation x1+x2+x3+x4=9?

A:

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

A: Given equation:

Q: The solution set for x−7− square root of 36x =0 consists of

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

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Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0…

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Q: olo Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: The discriminant, D , for the quadratic equation, is calculated using the formula, .

Q: Answer this question by showing all work and formulas used to solve: Differentiate and simply. 3x2…

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Q: Use the Gauss-Jordan technique to solve 3x1 - 0.1x2 - 0.2x3 = 7.85 0.1x, + 7x2 -0.3x3 = -19.3 0.3x1…

A:

Q: 5. Write an equation that would have infinitely man solutions with the equatio below: 5x + 3y-12

A: We have been given the equation  5x +3y - 12

Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Given,a,b,c are integers of the form 2k, k∈Na3+b4=c5

Q: Find all integer solutions of 3x + 5y + 12z = 20 %3D

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Q: Solve for r if: 73+7 = 31-2r %3D

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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: 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: 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: 7(3x + 1) = 21x+7

A: Topic-real number

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: Compute the value of the discriminnant and give the number of real Solutions of the ive yuadratic…

A: We are given the equation -2x2-8x-9=0. The discriminant is -82-4-2-9=-8<0. So, the roots are…

Q: How many real-number solutions are there to the quadratic equation 2x2 + 5x + 1 = 02 a. eslim b. 1…

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Q: How many solutions are there to the equation x1 + x2 + x3 + x4 = 17 where all the x are nonnegative…

A: C320=1140

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: Heron of Alexandria solved the quadratic equation x2 + x + x = 212 by multiplying both sides by 11·…

A: To solve the below quadratic equation by multiplying both sides by 11⋅14. 1114x2+227x+x=212

Q: A quadratic expression is shown. 2z + 3z + 4 How many terms are there in the expression?

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.