Isolate the terms involving y on the left side of the equation: y2 + 2y + 12x - 23 = 0. Then write the equation in an equivalent form by completing the square on the left side.

Q: the equation 16x2+18x=1 complete the square  x= ?

A: Given: 16x2+18x=1

Q: 7) -6.x+ 6y = 6 -6x + 3y = -12

A: Using Substitution,

Q: Write the equation in standard form by completing the square.  2y2-3y+3x=0

A:

Q: Identify the equation y2 - 4x + 2y + 21 = 0 without completing the square.

A: We have the 2nd equation : y2-4x+2y+21=0…

Q: Write the equation 4x 12y = 60 in the form y = mx + b.

A: We have the given equation as 4x-12y=60 On shifting the 'y' related term in one of the side and rest…

Q: Identify the equation 100x2 - 7y2 + 90y - 368 = 0 without completing the square.

A: Given: 100x2 - 7y2 + 90y - 368 = 0  We know that the general equation of a nondegenrate conic…

Q: Identify the equation 4x2 - 9y2 - 8x - 36y - 68 = 0 without completing the square.

A: 4x2-9y2-8x-36y-68=0

Q: Identify the equation without completing the square 2x2+4y2-2x+2y=0

A: 2x^2+4y^2-2x+2y=0This equation has: coefficient of x^2 = 2 and coefficient of y^2= 4.

Q: Use the discriminant to determine the number and type of solutions of the equation. 6) -5 3x2 = -7x…

A:

Q: Solve the equation. " 9x + 12 -15 %3D -3 B 2 D - 3. A,

A: 9x+12=-15 x=?

Q: write the equation in standard form. 2y+5=3(x+1)

A:

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

A:

Q: Q7 Complete the square for each variable to write the equation in standard form. x + 25y - 12x -…

A: Let us consider the quadratic equation ax2+bx+c  To turn the equation into completing square form…

Q: Complete the square to form a true equation. x2 - 14x + = (x-_)2 %3D x2 - 14x + = (x - (Simplify…

A: Here  , we will solve the problem using the formula of (a-b)2 = a2 -2ab +b2

Q: Consider the equation√2x + √1 = x - 7.Squaring the left side and simplifying results in________…

A: Given equation is 2x+1=x-7 Given equation can be written as 2x+1=x-7 Squaring the left side, we get…

Q: Identify the equation y2 - 4x - 4y = 0 without completing the square.

A: The equation is quadratic in the variable y.

Q: 4x - y²+ 32x+6y+39 = 0

A:

Q: Consider the equation V2r + 1 = x – 7. Squaring the left side and simplifying results in Squaring…

A: For simplifying an algebraic equation the must be free from radical forms so that it can be…

Q: Rewrite the equation 22 + 14x + 14 = 0 by completing the square. Fill in the blanks below. 2 (x +

A:

Q: Identify the equation x2 - 4y2 - 6x + 24y - 11 = 0 without completing the square.

A: We know that, the general equation of a conics represented as       Now,

Q: Complete the square to a. y = x +4x+6

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

Q: Write the equation in standard form by completing the square 2x2+2y2-8x-8y=0

A: Equation given in the question is: 2x2+2y2-8x-8y=0 We can rewrite this equation as: 2(x2+y2-4x-4y)=0…

Q: Complete the square to form a true equation. x2 - 14x + = (x -_)

A: The expression is given by x2-14x+_......(1) We know that a2-2ab+b2=a-b2......(2)

Q: Put the equation y +12x + 27 into the form y = -(z-h)' + k: Answer: y=

A:

Q: Identify the equation y2 + 8x + 6y + 25 = 0 without completing the square.

A: Consider the following equation: y2+8x+6y+25=0 Compare the above equation with Ax2+Cy2+Dx+Ey+F=0:…

Q: Identify the equation 3y2 - x - 2y + 1 = 0 without completing the square.

A: Given3y2 - x - 2y + 1 = 0

Q: The equation 3x – 24x = -56 %3D is rewritten in the form, 3(x- p +q = 0 What is the value of

A: Given equation is 3x2 - 24x = - 56 we have to rewritten this equation in the form 3(x - p) 2 + q = 0…

Q: Complete the square to put y=x^2-6x+13

A: GIven y=x2-6x+13To complete the square given above.

Q: Write this equation in standard form: -4x^2+9y^2+32x+36y-64=0

A:

Q: Rewrite the equation 2² – 16x – 20 = 0 by completing the square. Fill in the blanks below. (z -D' =0

A: Given the equation :

Q: Identify the equation 9x2 + 4y2 - 36x + 8y + 31 = 0 without completing the square.

A: 9x2+4y2-36x+8y+31=0 Comparing with Ax2+By2+Cx+Dy+E=0, we get A=9, B=4, C=-36, D=8  &  E=31.

Q: Identify the equation 9x2 + 4y2 + 54x - 8y + 49 = 0 without completing the square.

A: 9x2+4y2+54x-8y+49=0 Comparing with Ax2+By2+Cx+Dy+E=0, we get A=9,  B=4,  C=54,  D=-8  &  E=49

Q: Complete the square to form a true equation. x2 + 4x + = (x + _ )?

A: We have to complete the square to form a true equation  x2 + 4x + ....... = (x + .....)2  .........…

Q: Put the equation Y a? – 14x + 48 into the form y = (x – h)² + k: - Answer: y %3D

A:

Q: Write the equation in standard form. 4(2x+3)=5y-12

A:

Q: If 2x + 8y 9 is a true equation, what would be the value of 4x + 16y?

A: Linear equation

Q: Put the equation that is in general form: y = x² + 12x + 32 into standard form: y = (x - h)² + k:…

A:

Q: Determine if the equation is in standard form. If not, explain why. 5x-y 8 a. b. y = -4x-3 x+3y+7 -2…

A:

Q: Put the equation y=x^2−16x+63 into the form y=(x−h)^2+k

A: The given equation, y=x2-16x+63

Q: y" + y' - 6y = ex - 2

A:

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

A: We need to write the equation,.

Q: Write the equation in standard form by completing the square: (x-2)^2 + (y+3)^2 =9

A: In the question we have to write the equation in standard form.

Q: Which represents the equation 6x+3y=12

A: The given equation is 6x+3y=12. To solve the given equation for y we need to first divide 3 into…

Q: Complete the square to form a true equation. x2 - 2x + = (x -

A: Given that, x2 - 2x + ___ = (x - ___)2                                         .............(1) we…

Q: Find all real solutions of the equation by completing the square. x2 + 22x + 21 = 0

A: To solve the equation by completing the square: x2+22x+21=0 Solution: Given equation is: x2+22x+21=0…

Q: Put the equation y = x - 18x + 80 into the form y = (x - h)² + k: %3D Answer: y =

A:

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

A: Method for completing the square :   To solve ax2+bx+c=0 by completing the square :  (1)  Transform…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.