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Mathematics

Answered

Write the quadratic equation whose roots are 5 and 6 and whose leading coefficient is 5
(Use the letter x to represent the variable.)

Answer :

Sqdancefango Sqdancefango

9514 1404 393

Answer:

5x^2 -55x +150 = 0

Step-by-step explanation:

A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...

5(x -5)(x -6) = 0

5(x^2 -11x +30) = 0 . . . . . multiplying binomials

5x^2 -55x +150 = 0 . . . . applying the leading coefficient

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