Dayan P.
asked 07/21/22Find all values of m for which the equation has two real solutions. 9u^2-7u=(m-3) Write your answer starting with m, followed by an equal sign or inequality symbol (for example, m<5).
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1 Expert Answer
Mark M. answered 07/22/22
Tutor
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Mathematics Teacher - NCLB Highly Qualified
9u2 - 7u - (m - 3) = 0
For two real roots the discriminant must be ≥ 0
4(9)(m - 3) ≥ 0
Can you solve for m and answer?
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Doug C.
Hint: set equation equal to 0 by subtracting m - 3 from both sides. In order for this quadratic equation to have two real solutions, its discriminant must be > 0. where a= 9, b = -7, and c = -m+3. Solve the resulting inequality for m.07/22/22