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

Q: Spot the Error Maria and Jose wanted to determine the nature of the roots of the quadratic equation…

A: Introduction: Quadratic equations are polynomial equations of degree 2 in one variable of the form…

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

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Q: Kindly

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Q: Solve using the method of indeterminate coefficients. q''−4q'−21q=5e-3t

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

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Q: Determine all the roots of R(y)=12y²+11y-5

A: R(y)=12y²+11y-5

Q: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

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Q: For what value of 'y', x² + 12 + x + y² is a perfect square?

A: Given query is to find the value of y which makes expression a perfect square.

Q: If y satisfies the given conditions, find y(x) for the given value of x. y ' (x) = 5/square root of…

A: We have to find

Q: The roots of the equation x2+(m-2)x+4m-6=0 are x1 and x2. So: what is x,2 + x2² = ? at least?

A: Solution: The objective is to find x12+x22

Q: Which of the following are the approximate solutions of the quadratic equation 3x + 20x + 32 = 0?

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Q: Find all real number solutions for the equation 9y^2=49. Solutions (separate by commas): y=

A: Simplify the equation using redical

Q: Consider the equation 6x+3=x−1. Squaring the left side and simplifying results in​ _______.…

A: 1) Squaring left side    6x+32=x-1using a+b2=a2+2ab+b2    6x2+26x3+32=x-1    36x2+36x+9=x-1…

Q: fa is a root of the equation 4x² + 2x - 1 = 0, then prove that ²3 is the other root

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Q: Find the value of p for which the roots of the equation px(x-2)+6=0 are equal

A: Given the equation px(x-2)+6=0. We need to find the value of p for which the roots of the equation…

Q: Prove that the equation x2(a2+b2)+2x(ac+bd)+(c2+d2)=0 has no real root ,if ad is not equals to bc

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Q: 4. For what value of b will the quadratic equation 16x? + bx + 9 = 0 have one root?

A: Given a quadratic equation 16x2+bx+9=0 and we have to find the value of b so that the equation have…

Q: In the given questions ,characterize the solutions to the following equations by evaluating the…

A: In the given questions ,characterize the solutions to the following equations by evaluating the…

Q: Since T = 1 2x and = x + 2x2, we can substitute algebraic expressions into the equation found in the…

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Q: Consider the equation Vx + 2 = 3 – Vx – 1. Squaring the left side and simplifying results in, .…

A: The equation given is , x+2=3-x-1. Squaring the left side to simplifying the results. The left…

Q: Q1:- Solve the following Des 4) y" – 4y' + 3y = 4x+3e" 2x

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Q: In the given questions ,characterize the solutions to the following equations by evaluating the…

A: x3-3x+52=0

Q: Given the roots are: z 8 ± 2i, write the quadratic equation, by correctly filling in the blanks.…

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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: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A: The discriminant D, of a quadratic equation of the form ax2+bx+c=0 is given by, D=b2-4ac The…

Q: Use the discriminant to determine the type and number of solutions for the equation. 5.3y2 + y + 3 =…

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Q: Which equation is set up for direct use of the square root property? Choose the correct answer…

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Q: For Exercise, use A = and B = 4 and solve for x. 61 -2. 4 ЗВ - А %3D -2X

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Q: 2D4-4D³-23D² + 12D + 36 = 0

A: Given auxiliary equation is 2D4-4D3-23D2+12D+36=0 Now we replace D by x f(x)=2x4-4x3-23x2+12x+36…

Q: Modify the following equation so that it is in quadratic form Determine the values for a, b, and c.

A: In question given question we have to modify the equation in the quadratic form s.t ax2+bx+c=0 and…

Q: Find the roots of: (D4 + 6D² + 9)y = 0

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Q: If an answer does not exist, enter DNE.) 2x2 + 3 y%3D 7x2 + 20x - 3

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Q: Use the discriminant to determine all values of k which would result in the the equation -2x? + kæ –…

A: -2x2+kx-18

Q: 43. Given that r is a root of the quadratic equation x² - 3x - 5 = 0, find the value of 2r² – 6r +…

A: Given: r is a root of quadratic equation x2-3x-5=0. To determine: Value of 2r2-6r+1

Q: se the quadratic formula 7x*-3x%3D3

A: Given quadratic equation is, 7x2-3x=3.

Q: *+ 2y 7 2x-y -l

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Q: Q1) Solve the following DEs x?y" – 3xy' + 4y = x³Inx

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Q: Use the discriminant to determine the type and number of solutions for the equation. 7.3t(t + 1) = 9…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Use the attached question to answer; With x1,x2,x3,x4 being less than 0 i)Write the dual to the…

A: We are given the following LPP Max Z = x1 + 3 x2 + 2 x3 + 2 x4         subject to x1 + 2 x2 + x3 + 3…

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: The roots of the equation D(4) – 81y = 0 are

A: Here I am attaching image so that you understand each and every step.

Q: 4. For what value of b will the quadratic equation 16x² + bx + 9 = 0 have one root?

A: Given,            16x2+bx+9=0To find : The value of b.

Q: Solve the equation for y: 8. 3x + 2y 14 %3D

A: (8). Equation is given by 3x+2y = 14

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

A: Topic = Quadratic equation

Q: In the given questions ,characterize the solutions to the following equations by evaluating the…

A: Given: f(x)=x3-55x-72⇒x3-55x-72=0

Q: Which equation can be used to solve for in the following diagram? 3x 80° Choose 1 answer: A 3x + 80…

A: To write the equation which will be used to find the value of x

Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a +…

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Q: Which equation can be used to solve for in the following diagram? 13x 5x Choose 1 answer: 5x + 13x =…

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