The quadratic equation ax + ex + b= 0 has real and equal roots when 0. A - 4ab a - 4b 0. C B - 4ac Đ b - 4ac 20. 4ас 0.

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: If 4x -100 = 0, the roots of the equation are (1) -25 and 25 (2) -25,only (3) -5 and 5 (4) -5 only…

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Q: or a quadratic equation: two positive numbers differ by 4 and the sum of their squares is 136. Find…

A: Given: - The statement is, For a quadratic equation: two positive numbers differ by 4 and the sum of…

Q: The solution of the quadratic equation 5æ? + 5x + 1= 0 are -5 + V15 15 O -5± V15 10 O -5 + /15 20 O…

A: A detailed solution is given below

Q: My neighbor and I like to kick a soccer ball back and forth to each other over the fence. If we each…

A: Consider the given scenario. Given that the neighbour's location in the picture is given by the…

Q: 1. Solve using substitution 2x + y = 14   3x - 2y = 7

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Q: Find a quadratic equation whose product of roots x₁ and X2 equal to 4 and satisfying the relation X₁…

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Q: The solution of the quadratic equation 5æ² + 5æ + 2 = 0 are. O -5+ V5 20 O -5+ V5 15 O -5+ V5 10 O…

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Q: Find the fourth roots for the equation z4-2z²+4=0

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Q: Find three quadratic equations: one having two distinctsolutions, one having no real solution, and…

A: Quadratic equation having two distinct solutions-  x2+x-6.

Q: Solve by Gauss Elimination and Back substitution 24. 3x-2y + z - 13 -2x + y + 4z - 11 x + 4y - 5z…

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Q: Solve for A. 3 REHB 8 “1881-

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Q: What is the solution to this quadratic, -3x2 + 8x - 6 = 0 -4 +iv21 3 4±iv2 -4 2iv2 4 +iv2 {*}

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Q: Find the roots of the equations: 1. 3z2 + 3z +1= 0 2. 2z2 + 2z + 3 = 0

A: Topic:- algebra

Q: If the discriminant of a quadratic equation is 4, then the equation has Select an answer If the…

A: We have to find the number of solutions based in discriminant.

Q: Find the roots of the equation z² - 4z + 5= 0

A: Solution

Q: If one root of the quadratic equation 2x2 +kx-6=0 is 2.find the value of k .Also find the other root

A: Given that 2x2+kx-6=0 and 2 is its root. to find: value of k and rest of the root.   since 2 is its…

Q: Solve for x: xy2 + yz2 - 4 = 2x - 1. 3-yz2 b) х %3D у2-2 a) x = *y^tyz2-3 2 с) х %3D 3 — yz2 -у? +2…

A: Consider the given expression.

Q: 11) Solve by Substitution a. b. -4x – 2y =-1 y=-2x – 4 x+3y=-17 -8x + 8y =-24

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Q: a. Solve by back-substitution: 3x1 + 3x2 + X3 = 12, -4x₂-3x3 = -10, 4. 2x3 = = b. Solve by…

A: We will solve the system of equation by back substitution  and  forward substitution

Q: 4. Solve for the general solution of --y = x²y? a. y-1 = Ce* - 12e* b. y-1 = Cex - 10e2x c. y-1 =…

A: Given that, The differential equation is following, dydx-2xy=x2y2 We have to find the general…

Q: Solve. x3+ 4x 2- 4x - 16 2 0 OA -4, 2] O B [-4, *) oc12, 2] u [4, *) Op 14 -2] U [2, *)

A: We have to solve the given inequality. To solve an inequality we have to represent the value of x…

Q: Write a quadratic equation in standard form with - 4 and 3/2 as its roots. I 2x^2 - 5x - 12 = 0…

A: Given;           Roots of the quadratic equation are -4 and 32 Using the given roots, make a…

Q: a. Solve by back-substitution: 3x1 + 3x2 + x3 = 12, -4x₂-3x3 = -10, 2x3 = 4. b. Solve by…

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Q: If the roots of a quadratic equation: A x 2 + B x + C = 0 are x=5 and x=4/3, then what is the…

A: Consider the given quadratic equation: Ax2+Bx+C=0 Root of the above equation is x=5 and x=43 Here,…

Q: The solutions of the quadratic equation 3z2 = 4x 17 are, O -4+v-137 -4+V-86 9. O 4+v-188 6. O -4+v-…

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Q: Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 is whereas the…

A: We have to solve given problem:

Q: 4. The Quadratic equation whose roots are 1 and %. c. 2x-3x+1-0 a. 2x +x- 1- 0 b. 2x-3x -1 0 d. 2x…

A: Hello, thanks for the question. We’ll answer the first question since the exact one wasn’t…

Q: Solve by using either the addition method or the substitution method. 1/8x + 1/5y = -31/20 7/8x +…

A: From 18x+15y=-3120 solve for x. 18x+15y=-312018x+15y-15y=-3120-15y18x=-3120-15yx=-625-85y

Q: for 1b of this question, could you explain why why all the solutions of the original equation are…

A: It is provided that the original equation is (x2+y2-1)2+4y2-1=0 and the corresponding polar equation…

Q: quadratic

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Q: Find all the roots of the equation (3z-1)^4+(z-2)^4=0 in the simplified form a+ib

A: Given equation, (3z-1)4+(z-2)4=0 Expand this equation,…

Q: Show that the third difference of a cubic equation f(x) = ax^3+bx^2+cx+d is constant.

A: Consider the provided cubic equation, We have to show that third difference of given cubic equation…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 b is whereas…

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Q: e and p are the roots of the quadratic equation x2+ 5x– 13 = 0, form a quadratic equation in x whose…

A: Given,            α and β are the roots of the quadratic equation x2 + 5x - 13 =0

Q: 2x - y - 4z = 2 4x - 2y - 6z = 5 6x - 3y - 8z = 8 solve

A: 2x-y-4z=2 4x-2y-6z=5 6x-3y-8z=8

Q: 10. Solve for x and y: 3x - 5y = 13 -2х - Зу %3D 4

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Q: Solve for x and y:3x + 2y = 16 and 7x + y = 19 (-2, 5) O (2,-5) O (2,-5) O (2, 5)

A: We solve this problem by elemination Method.

Q: Can you help me solve this equation with an answer in exact, simplified form 45z^3−27z^2-5z+3=0

A: 45z3-27z2-5z+3=0

Q: If one root of the equation X²-Ax+b is 3more than the other root. Find b in terms of a

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Q: zª – V3i + 3 = 0

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Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

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Q: Solve the given quadratic equation using the method of your choice. -3x = 722 +1 -3tiv19 14 -3+V19…

A: Answer is mentioned below

Q: 1. Solve 2x = -20 2. Find 2 solutions to 2x > -20

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Q: 2. Solve the equation x-3x-9x-5=0, given that it has two equal roots.

A: to solve the given equation

Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Q: Solve the pollowing vyrtemr of equationN uring matricar a. ex tytz =4 X-24 +32=7 -3x tây-22=-10

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Solve by Z method dz 2. 1-2²

A: