If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution, otherwise give a counterexample.

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A: None of them

Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Step:-1 Statement:-  Given Statement is  a3 +b4 =c5 ----(1) Counter Example:-  Take a=28,  b=26  and…

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A: Introduction :

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Q: If a, b, c are integer powers of 2, prove that equation a³ + b* = c° does not have solution,…

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Q: 12. Show that the equations p² +q? =1 and (p² +q³)x= pz are compatible and hence find its solution.

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A: Given a,b,c are in g.p So the ratio will be same ba=cbb2=acb=ac ---- {1}

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Q: (4) Find B such that the equation ßx² + x + ß : 0 has a repeated real solution.

A: Question no..4 Note : the equation has a repeated real solution, if the discriminant is 0.

Q: (4) Find ß such that the equation ßx² + x + B = 0 has a repeated real solution. 100

A: We have to find the value of beta.As per guideline we have to solve only one

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

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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

A: See the attachment

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

A: The quadratic equation is given as ax2+bx+c=0 Its roots are given by x = -b±b2-4ac2a Hence its roots…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.