abstract algebra, Mathematics

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prove that 2a=b+c, If the roots of the equation (a-b) x 2 + (b-c) x+ (...

If the roots of the equation (a-b) x 2 + (b-c) x+ (c - a)= 0 are equal. Prove that 2a=b+c. Ans:    (a-b) x 2 + (b-c) x+ (c - a) = 0 T.P 2a = b + c B 2 - 4AC = 0

Word problem solving, the traffic light at three different road crossing ch...

the traffic light at three different road crossing change after every 48 seconds, 72 seconds and 108 seconds respectively. if they change simultaneously at 7 a.m., at what time wil

Example of differential equations, y(x) = x -3/2 is a solution to 4x 2 y′...

y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3y = 0 , y (4) = 1/8 , and y'(4) = -3/64 Solution :  As we noticed in previous illustration the function is a solution an

Which mathematical property did marty use to get similar ans, Marty used th...

Marty used the subsequent mathematical statement to show he could change an expression and still get the similar answer on both sides: 10 × (6 × 5) = (10 × 6) × 5 Which mathematica

Standard deviation, i need to work out the standard deviation of 21.4

i need to work out the standard deviation of 21.4

Utilizes the denominator for our substitution, Evaluate given integrals. ...

Evaluate given integrals.                ∫3/(5 y + 4)   dy Solution Let's notice as well that if we take the denominator & differentiate it we get only a constant and th

Unconditional and conditional probability, Independent and Dependent Events...

Independent and Dependent Events Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event

Rounding whole numbers, Rounding whole numbers List the order in which ...

Rounding whole numbers List the order in which nancy, amy, ethel and cindy line up in single file to board the school bus. Then match the girls with their heights, which are fo

Parent, Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbl...

Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbles as Sam?

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