Determine the solutions of each quadratic equation by extracting the square roots a) (Зх — 3)2 — 363 0 b) —2(6х2 + 24) %3 24 c) x+2) (;x – 2) = | х — = 0

Q: Use the quadratic formula to solve for x. 2x2 - 3x-7=0 (If there is more than one solution, separate…

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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: Find the roots of 2x2-2(√2x) +1=0,If they  exist using quadratic formula

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: 8. Use the quadratic formula to determine each of the roots of -7x - 23x = - 10 to two decimal…

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Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

Q: Use the guadratic formula to solve for x. 2x-6x-1=0 (If there is more than one solution, separate…

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Q: The solutions to Shana's quadratic equation are x = 3 and I = . Which could be Shana's equation?…

A: Just write the form of quadratic equation when its solution is given.

Q: Solve the given quadratic equation using the method of your choice. 722 + 19 = 31z + 7 o {흙, 4} o…

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Q: 7. Given that a and B are the roots of the quadratic equation x? + px + 8 = 0 while 2a and 2ß are…

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Q: The equation m2/3 + 10m1/3 + 9 = 0 is said to be in __________form, because making the substitution…

A: In mathematical expressions/equations, power to which a variable has been raised is called an…

Q: I had a question regarding the quadratic formula. Based on the equation x = [-b +/- sqrt(-b^2 -…

A: As we are discussing about quadratic equations and of we want to determine equation have infinite…

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: The value of a for which one root of the quadratic equation (a? – 5a + 3) x² + (3a – 1) x + 2 = 0 is…

A: Introduction :

Q: Assume that P and Q are two positive distinct real roots of the quadratic equation (²₂. - -…

A: given quadratic equation t2-P+Qt+PQ=0 here assume that P and Q are two positive distinct roots of…

Q: Find the quadratic equation through the origin that is a best fit for the points: (1,1), (2,5),…

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Solve the given quadratic equation using the method of your choice. 7a? + 19 = 31z + 7 O {}, 4} o…

A: Given, The quadratic equation 7x2+19 = 31x+7 We have to solve the quadratic equation.

Q: Solve the roots of the equation f(x)=-0.5x^2+2.5x+4.5 a.With the Graphical Method b.Using…

A: Here, we need to find the roots of the equation f(x)=-0.5x2+2.5x+4.5. For (a), Graphical Method:…

Q: Is √Ax²+Bx+C still a quadratic? Providing that there is a square root in the equation.

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Q: Use the quadratic formula to solve for x. 9x+ 5x–1=0 (If there is more than one solution, separate…

A: We have given equation 9x2+5x-1=0 Then, comparing this ax2+bx+c=0 we have a=9,b=5,c=-1 Now, using…

Q: Find the roots of 2x² – 2( v2x) +1=0,If they exist using quadratic formula -

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Q: Prove that the equation 2x2 + y² 14 has no positive integer solutions.

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Q: 29. Use the quadratic formula to find the roots of the following quadratic: y = 2x² – 11x + 5 -

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic ed 5x…

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Q: 6. Show that the quadratic equation ax² + b – a = 0 (a± 0) has two distinct real roots.

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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) Show that in general the sum of the roots of a quadratic equation ax? + bx +e=0 b is --whereas…

A: Let u and v be the roots of a quadratic equation ax2+bx+c=0. To obtain the equation from the roots,…

Q: quadratic equation

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Q: Solve each of the following incomplete quadratic equations by the square root method. 1. y^2 - 36 =…

A: As per our guidelines we are supposed to solve only three subparts of the questions. For the first…

Q: quadratic

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Q: Write a quadratic equation with roots of 1 / 6 and 5 / 8 in the form ax2 + bx + c = 0 , where a,b,…

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Q: Show by completing a square that the solution to the equation ax^2-bx-a=b are x=-1 and x=(a+b)/a

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Q: 2. In the equation x² + 40x +n = 0 , findn if one root is 3 times larger than the other root.…

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

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Q: Find the quadratic that has the following roots: x=4 and x=-2

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

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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: The sum of the roots of a cubic equation x3 + ax2 + bx +c = 0 is

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Q: What is/are the value/s of k in the quadratic equation 2x² – 5x – k = 0 whose roots are imaginary?…

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Q: it is given that α and β are the roots of quadratic equation 2x^2-5x+6=0.Form a quadratic equation…

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Q: Use the quadratic formula to solve for x. 5x+5x-1=0 (If there is more than one solution, separate…

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Q: The solutions of the quadratic equation x + 3x + 9 = 0 are O -3+iv36 2 -3+iv27 2 O -3+iv27 4 O…

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