Solve for d.d2–34d=0Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
Question
Solve for d.d2–34d=0Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
Solution
This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 1, b = -34, and c = 0.
The solutions to a quadratic equation are given by the formula x = [-b ± sqrt(b^2 - 4ac)] / 2a.
Substituting the values of a, b, and c into the formula, we get:
d = [34 ± sqrt((-34)^2 - 410)] / 2*1 d = [34 ± sqrt(1156)] / 2 d = [34 ± 34] / 2
So the solutions are d = 34/2 = 17 and d = 0/2 = 0.
Therefore, the solutions to the equation d^2 - 34d = 0 are d = 0 and d = 17.
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