Solve the equation by completing the square and applying the square root property: a) 4y^2-8y-20=0 b) 3x^2+2x=1

Q: A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other three…

A: Given A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other…

Q: Why do we take square roots of both sides of the equal sign when solving quadratics

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Q: Solve by completing the square. z2 - 4z = 33 Write your answers as integers, proper or improper…

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Q: Solve by completing the square. 3x2-5x-9=0

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Q: Find the discriminant of the quadratic equation and describe the number and type of solutions of the…

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Q: Prove that golden rectangle is a rectangle where, if you cut off a square (side length equal to the…

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Q: By using the method of completing the square. Show that the equation 4x2 + 3x + 5 = 0 has no real…

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Q: One leg of the right triangle is 6 cm longer than the other leg. The length of the height from the…

A: To find the length of the hypotenuse without using the quadratic formula.

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

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Q: Use the square root method to solve the equation. 8z2 – 200 = 0

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Q: Determine the roots of the equation by factoring 3x2 – x – 4 = 0. Verify the roots and be sure to…

A: Factoring the quadratic equation can be defined as the process of breaking the equation into the…

Q: how do i mulitply 2 - square root of 2 by 2 - square root of 2?

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Q: Solve the equation in the image:

A: Given expression is

Q: 2x + 4 3x + 10 24 エ

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

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

Q: The perimeter of a rectangle is 52cm, it’s area is 165 square meters and the dimensions are 15m by…

A: Introduction: A rectangle is a two-dimensional figure with length and breadth. It is a quadrilateral…

Q: Solve the equation by using the square root property. 125 - = 0 %3D

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Q: By using the method of completing the square , show that the equation 4x2+3x+5=0 has no real roots

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Q: solve using the quadratic formula

A: We need to solve the quadratic equation.

Q: Without solving, determine the character of the solution ofthe quadratic equation 4x2 - 28x + 49 = 0…

A: For a quadratic equation ax2+bx+c=0 the solution is given by the quadratic formula -b±b2-4ac2a. The…

Q: What is the area of a triangle in square feet whose base is 9 feet and whose height is half its base

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

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Q: By using the method of completing the square, show that the equation 4x2 +3x+5=0 has no real roots.

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

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Q: Marcus has à square-shaped garden that has an area of 4(x2-y2) square feet. If the garden has four…

A: In this question given that area of square and ask that square each section area when we decided…

Q: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight…

A: Let the width of the rectangular field is w. since the farmer has 2400 feet of fencing.  so the…

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

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Q: Solve by completing the square9x^2+3x=2

A: First we get rid of the coefficient of x square by dividing both sides by 9.

Q: The factoring method can not be used to solve all quadratic equations. true or false

A: Factoring is the process of finding the factors.

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

A: Given:  4x2 - 28x + 49 = 0

Q: Solve the equation by the quadra 21) 4x2 + 6x +1=0 %3D

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Q: Solve by completing the square. -2x2-12x-9 =0

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Q: Determine an equation equivalent to 2x-8x + 3 = 0 obtained by completing the square.

A: Given equation  2x2-8x+3=0 Add 8 to the given equation on both sides 2x2-8x+8+3=8

Q: Solve 0 = x² – 10x + 30 by completing the square.

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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: Solve by completing the square. 10x-4%3D0

A: Given Data Expression: x2-10x-4=0   The general quadratic equation is, x2+bx=c   From both above…

Q: What is the length of a diagonal of a square whose side length is √3?

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Q: Solve by completing the square  6x^2+13x=5

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Q: Solve by the square root property: 3x2 - 21 = 0

A: Given: The equation 3x2-21=0, To solve: The given equation by square root property.

Q: Solve by using the square root property. 2 25 (x- ) = = x

A: x-252=225

Q: A gardener wants to use 300m of fencing to fence in a rectangular garden with with an area of 5000…

A: Given : Perimeter of rectangular garden = 300m  Area of rectangular garden = 5000 m2   To find :…

Q: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight…

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Q: Solve 36 y squared minus 729 equals zero using the zero product property

A: First we write both terms as squares. 36y^2= (6y)^2 and 729=(27)^2

Q: Solve by the using square root property. 3. 52-4x² = 0

A: Using algebric operation

Q: Solve by completing the square: 4x2 – 24x + 12 = 0

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Q: Solve by Completing the Square. 3x2-5x-9=0

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Q: How is the area of a square related to its side length?

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Q: get

A: Given,