IZ.2.93 Translate to a quadratic equation, then solve using the quadratic formula. The length of a rectangular air filter is 4 inches less than twice the width. Find the length and width of the filter if the area is 720 square inches. What are the length and width? (Use a comma to separate answers as needed.)

Q: Solve the following quadratic equation by using the quadratic formula. If necessary, round to the…

A: The given quadratic equation is: x2+10x+22=0 Comparing it with ax2+bx+c=0, a=1, b=10, c=22

Q: 6. Answer the questions for the following quadratic equation y = 2(x+3)^2- 5

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Q: Given that a, B and y are the roots of the equation 423 – 522 + 3z + 11 = 0. a3 Without finding a, B…

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Q: Solve the following 3 quadratic equations using the quadratic formula: -b±yb²-4ac 2а a) 4x² + 12x +…

A: a)  4x2+12x+9=0    a=4 , b=12 , c=9   x=-12±(12)2-4(4)(9)2(4)    =-12±144-1448   =-12±08…

Q: Find either of the solutions to I – 4x + 20 = 0 (type in one solution) -

A: Given, The quadratic equation  x2-4x+20= 0  We have to find the solution

Q: If the roots of x²-ax+b=0 is twice the other.find b in terms of a

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Q: D. using quadratic formula. 1. x2 + 5x = 14 2. 2x² +8x - 10= 0 3. 2x² + 3x = 27

A: Topic = Quadratic equations

Q: B. by factoring 1. x² + 7x = 0 2. m² + 8m = -16 3. x2 + 5x − 14 = 0 4. 2y2 +8y - 10=0

A: Topic = Quadratic equation As per guidelines , At a time only three sub-parts can be answered.…

Q: 4. 2y2 +8y - 10= 0

A: Given problem:- 4.   2y2+8y-10=0

Q: Solve the following quadratic equations using the quadratic formula: (5x + 20x + 32 = 0 )

A: We will directly use the formula. Note : we will have 2 complex conjugate roots.

Q: The distance from Jamestown to Kenneville is 180 miles, the distance from Kenneville to Elizabeth…

A: We need to determine whether the distance from various cities forms a right triangle or not.

Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b)=0 2 _ 1 ,1. are equal, show that а с

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Q: Show that the two equations above reduce to 6x² - 43x+84 = 0 when perimeter = 12 and area = 7. Does…

A: Here we solve the second degree equation.

Q: Given that a+1 and ß+1 are roots of the quadratic equation 2x -bx-2=0, and that the two roots are…

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Q: It is given that a and B are the roots of the quadratic equation 2x+4x- 3 = 0. Form a quadratic…

A: If α and β are the roots of the quadratic equation ax2+bx+c=0, then α+β=-baαβ=ca Consider the…

Q: Given that each of the following quadratic equations has no real roots, find the Pange of kx² - 4x +…

A: General form of quadratic equation:ax2+bx+c=0Quadratic Formula:x=-b±b2-4ac2ab2-4ac=0    one real…

Q: If (2+3) is one of the roots of the equation x² + (α-ix+bi=o find the valus of a b

A: given  one of the root of the equation x2+(a-i)x+bi=0 is 2+3i we have to find the value of a, b…

Q: Solve the following quadratic equations. i) x + 3ix + 10 = 0 ii) 2x + 3ix + 2= 0 iii) x² + 4ix – 4 =…

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Q: Solve the following quadratic equation for all values of x in simplest form. 2(x + 10)2 – 37 = 13…

A: We need to solve this Quadratic equation

Q: 10.) Solve for both roots in the following equations using the quadratic formula where az^2+ bz +c =…

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Q: To carry a suitcase on an airplane, the length + width + height of the rectangular luggage must be…

A: Given the sum of length, width, height of a suitcase should be less than 56 inches.  And volume of…

Q: If 7, and r, are the roots of equationx -2x+4=0, then find r.

A: Given equation, x2-2x+4=0 If r1 and r2 are the roots of the equation, then find ∑ri3.

Q: Solve the following quadratic equation: .2 4 x = O x = +} 3 O x = + 3.

A: We have to find the solution

Q: If a and B are the roots of the quadratic equation 2x2 - 4x - 3 = 0, then 2a² +4B = 7. А. 3. В. 5.…

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Q: Identify the "c" value of the following quadratic equation given below. -8 = 2 (x + 9)2 O 85 170 О 6…

A: Given quadratic equation is

Q: If a and b are roots of x2 - 4x - 21 = 0, where a > b, find the equation whose roots are a/b and…

A: First obtain the roots of the given equation as follows.

Q: Solve each parallelogram for the missing variables. 2n +2 3m+6 n+4 3n-9

A: Given : A paralleogram

Q: Find the roots of the given Quadratic Equations. 1. x^2 = 10 2. x^2 = 25

A: Given:  1)x2=102)x2=25 To find: The roots of the given Quadratic Equations.

Q: Solve the following quadratic equation: x2 = 50 %3D O r = +5/2 O a = +3/3 %3D O x = +4V7 O r = +5/3

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Q: If a and B are the roots of the quadratic equation -x+6x - 4 = 0, find the values of the following…

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Q: Solve the following equation using the zero product law. 2x² –13x – 24 = 0

A: Solve by factorisation method.

Q: In AFGH, the measure of ZH=90°, the measure of ZF=75°, and HF = 31 feet. Find the length of GH to…

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Q: 1. Solve the following equation using the quadratic formula: 5t = 5t + 3

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Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a +…

A: What is Discriminent: The discriminant of a higher degree equation in one variable determines the…

Q: Identify the "b" value of the following quadratic equation given below. 6 = (x- 1)2 O 5 O 1 O -5 -2

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Q: Solve for x. 9x+25 = 30x %3D If there is more than one solution, separate them with commas. If there…

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Q: Solve the given equation for x 3. = 2 +5e:4X canned with CamScanner

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Q: Solve the following quadratic equations by extracting square roots. 1. x = 25 2. 2= 144 3. r-100 = 0…

A: we have to find roots after square root both side

Q: 4. For each of the following quadratic equations rearrange into the form ax? + bx + c = 0 and state…

A: Any equation of form is a quadratic equation as the highest exponent of a variable is 2.  The…

Q: What expression gives the values of the roots (if any) of the quadratic equation ax? + bx + c = 0…

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Q: A. by extracting square roots. 1. x2 = 169 4. (x - 2)² = 16

A: Answer (4) We have to solve by extracting square roots (x - 2)2  = 16

Q: Solve the following quadratic equation by using the quadratic formula. If needed, submit your answer…

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Q: It is given that a and ß are the roots of the quadratic equation (x – 2)(x – 1) = p. If (2a – 1)(2B…

A: given(x-2)(x-1)=pexpand this expressionx2-3x+2-p=0ax2+bx+c=0if the roots of this equation are α and…

Q: Solve the following quadratic equation: 2.x2-8= 0 O x = ±2 O x = +3 O r =+4 %3D Ox=±5

A: Simplification  of quadratic

Q: Solve part (a) and use that answer to determinethe answers to parts (b) and (c).

A: Solve part (a) and use that answer to determine the answers to parts (b) and (c).               (a)…

Q: Solve the following quadratic equation: 2 x +7x + 12 0 O {3, 4} O {-3, -4} O {-3, 4} O {3, -4}

A: We find the solution

Q: . The pair of shapes are similar. Solve for x. 24 16 MathBits.com 21

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Q: If a and B are the roots of the equation x² - 3x + 4 = 0, the equation whose roots are a? + a + 1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Which of the following quadratic equations has the sum of product of the roots to be 4 and 7,…

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