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

Q: 2. Illustrate how one can complete the square using symbolic notation and algebra tiles to rewrite…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: 4x-5y 39 3x+8y -6

A:

Q: Does the Intermediate Value Theorem guarantee that the following equation has a real solution…

A: We will use Intermediate value theorem. if function takes positive and negative values on end points…

Q: Find the general solution off the following charccteristac eq uation, (m-1) (m+2)-(m-3) (m+u)=0

A: The characteristics equation of the differential equation of the form ay''+by'+cy=0 is am2+bm+c=0.…

Q: What is the value of the discriminant for this quadratic: 2x -12x + 8 = y O 80 O 40 -208

A:

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

A:

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

A:

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: Find the number of solutions in non-negative integers of the equation: x + y + z + 3w = 8

A: Given equation is x+y+z+3w=8

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: What are the solutions of (x-5)(4x+10)%3D0

A:

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

A:

Q: The solutions to Shana's quadratic equation are x = 3 and I = . Which could be Shana's equation?…

A: Just write the form of quadratic equation when its solution is given.

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: Solve the given quadratic equation using the method of your choice. 722 + 19 = 31z + 7 o {흙, 4} o…

A:

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

A:

Q: Find all solutions of 62x-34y=16. with y20.

A:

Q: 1,5х + 2х, 3D 4 4x1 +X2 = 6

A:

Q: What is the average of the two solutions of the arbitrary quadratic equation ax2 + bx + c = 0?…

A:

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

A:

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

A:

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

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

A:

Q: discriminate

A:

Q: 02u at2 = ә2u аг 0x2

A:

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: What is the positive solution of x2 – 36 = 5x?

A: We have to find solution for given equation ...

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

A:

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

A:

Q: Solve the attached equations  by the method of undeterminedcoefficients.

A: Given: d2ydx2-dydx=-8x+3.

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

A:

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

A:

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic ed 5x…

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: 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: Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 is whereas the…

A: We have to solve given problem:

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

A: Given: 4x2-8x+1=0

Q: Consider nonnegative integer solutions of the equation x1 + x2+...+10 = 100. %3D

A: Answer:

Q: b= %3D 2

A:

Q: 13. Find the solution set of a) |6x – 13x - 5|| = 2x b) 14x 1| > |2x + 3| + 1 c) |2x² – 3x – 4| < 5…

A: Discuss all cases and solve it.

Q: Show by completing a square that the solution to the equation ax^2-bx-a=b are x=-1 and x=(a+b)/a

A:

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&lt;0. So, the roots are…

Q: (4) Find ß such that the equation Bx² + x + B = 0 has a repeated real solution.

A: General quadratic equation: ax2 +bx + c = 0 For repeated real roots : D = 0 D = b2 -4ac = 0

Q: ifıx)=5x"+3x²+1

A:

Q: 31. Find the discriminant of the equation and give the number and type of solutions of the equation.…

A: We can find the answer as below

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

A:

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

A: The quadratic equation is given as ax2+bx+c=0 Its roots are given by x = -b±b2-4ac2a Hence its roots…

Q: Find the particular solution of  y ' = 4x3+3x2 if y(0)=4

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.