While completing the square, the equation x2+ax+y2+by=c is rewritten as (x2+ax+d)+(y2+by+e)=c+d+e where d=?   d=a/2 d=(ax/2)^2 d=(a/2)^2 d=x/y

Q: find the quadratic equation that goes through the points (2,-4), (3,-4), (0,2)

A:

Q: What is the solution to this quadratic, -3x + 8x-6 = -4 + iV2 3 4 +iv2 {*} 3 -4 + 2iv2 3 S4±iv2 3

A: given equation-3x2+8x-6=0compair withax2+bx+c=0a=-3, b=8, c=-6we know that…

Q: Solve by completing the square: z2+8z=−19.

A:

Q: Solve 2x-y=5 and 3x+2y=11 by using substitution method.

A: Given: 2x−y=5…

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

A:

Q: Consider the equation below. 10x2 – y + 5z2 = 0 Reduce the equation to one of the standard forms.

A:

Q: What is the value of the discriminant for this quadratic: 8x2 - 24x + 18 = y O-1,152

A:

Q: What is the intermediate step in the form (x + a)² = b as a result of completing the square for the…

A: 5x2-20x-370=-155(x2-4x-74)=-15x2-4x-74=-155x2-4x-74=-3x2-4x=-3+74x2-4x=71

Q: Why must we change the equation 3x2 - 2x = 4 to 3x2 - 2x - 4 = 0 before applying the quadratic…

A: Consider the equation, 3x2-2x=4

Q: Solve of AABC. 2. ABCD is a square of side 6 cm. If a rectangle of length (2x- 1) cm and width (x +…

A: Area

Q: Solve intergral, thank you

A: To evaluate: I=∫-10x2(x+1)12dx...(1)

Q: what are general quadratic equations ?

A:

Q: Integrate using completing the square 3x2-5x+4

A:

Q: roots of the quadratic equation 2x2=18 is?

A:

Q: A farmer needs to enclose two different breads of animals in a rectangular area. The two breads are…

A: Given: The farmer has 249 m of fence. The required area is 195 square meter.

Q: how do I complete the square with problems like: 3y^2 - 4y + 4x = 0 Thank you for your help!

A: This is a problem related to quadric equation. Based on the general formula of quadric equation we…

Q: A farmer needs to enclose two different breads of animals in a rectangular area. The two breads are…

A: According to the question, the farmer wants 2 length and 3 width as shown in the diagram.  Also, the…

Q: The side of a square exceeds the side of the another squares by 4 cm and the sum of the area of the…

A: we have given that side of a square exceeds the side of the another squares by 4 cm and the sum of…

Q: 2. Solve 6x3 +2x = -7x2 %3D

A:

Q: Solve by completing the square. 5x^2-2x+2=0

A: The given quadratic equation is: 5x2-2x+2=0

Q: 19) 2a = -6 + 8a

A:

Q: Find the roots of the equation 5x²-6x-23D0 by the method of completing square.

A:

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: Solve the equat on by completing the square 2. %3D

A:

Q: Solve for a a %3D 2m²

A: Solve for a

Q: A man has marked off an area in his yard where he will plant a garden. Find the dimensions of the…

A:

Q: Give a step-by-step description of how to solve 3x2 + 9x - 4 = 0 by completing the square.

A: Given: The quadratic equation 3x2+9x-4=0 . The given quadratic equation can be solved by method of…

Q: Without solving, determine the character of the solutions ofthe quadratic equation 4x2 - 28x + 49 =…

A: Given:  4x2 - 28x + 49 = 0

Q: he hypotenuse of right triangle is 5 cm longer than one leg and 10 cm longer than the other leg.…

A:

Q: Find the nature of the quadratic form 2x2 + 2y? + 2z² + 2yz

A: Convert the given quadratic form to matrix form and solve it...

Q: Solve using the substitution method.y=6-3x and 4x+y=6

A:

Q: Integrate using completing the square. 3x²-5x+4

A:

Q: Express x2 + 6x + 16 in terms of a perfect square.

A: Given expression is x2+6x+16. Making the given expression as perfect square.…

Q: The side of a square exceeds the side of the another squares by 4 cm and the sum of the areas of two…

A:

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

A: Given: 4x2-8x+1=0

Q: The square root of the sum of two consecutive even integer is 7V2. What are the integers?

A: Given, the square root of the sum of two consecutive even integers is 72. We have to find the…

Q: Explain how to solve x2 + 6x + 8 = 0 by completing the square.

A: To complete the square, add square of the half of the coefficient of x on both sides. Here,…

Q: Find the root of the equation 5x2-6x-2=0 by the method of completing square

A:

Q: Explain how to solve x2 + 6x + 8 = 0 by completing the square ?

A: The given  quadratic equation is x2+6x+8=0. To solve the quadratic equation by completing square…

Q: To complete the square of x2 - 5x, you add the number _______.

A: We know, (a-b)2=a2-2ab+b2 Now, given expression is:x2-5x On simplifying further we get:…

Q: A student is solving the problem a + 10x + = 16 + by method of completing the square. What number…

A: Given: x2+10x+........=16

Q: Solve the LPP using Simplex methed: Max 2z3x,+5x2 Subject to 2X2 12 3Xi+2X2<18

A:

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

A: The discriminant, D, of the quadratic equation: ax2+bx+c=0 is calculated using the formula:…

Q: Solve the given quadratic equation using the method of your choice. -3x = 722 +1 -3tiv19 14 14…

A:

Q: The side of a square exceeds the side of the another squares by 4 cm and the sum of the area of the…

A: Area of square = a2  (where a is the side of the square)

Q: Solve using the substitution method. 2x+4y=-3 and 2x-y=7

A: We have given2x+4y=-3               ⋯⋯⋯⋯(i)2x-y=7                     ⋯⋯⋯⋯(ii)

Q: d. 2x² + 3x = 5 e. 6x2 = 5x + 3

A: The zero product property states that if ab=0, then a=0 or b=0 . The square of a sum formula states…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.