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3x-5=-2x^2select the two values of x that are roots of this equation

3x-5=-2x^2select the two values of x that are roots of this equation
asked 170k views
5 votes
3x-5=-2x^2select the two values of x that are roots of this equation

asked
User EMich
by
7.6k points

1 Answer

4 votes

Answer:

The two solutions for x are:


- (5)/(2)

and


1

Explanation:

Order and solve the quadratic:


3x - 5 = - 2{x}^(2) \\ 2 {x}^(2) + 3x - 5 = 0 \\ 2 {x}^(2) - 2x + 5x - 5 = 0 \\ 2x(x - 1) + 5(x - 1) = 0 \\ (2x + 5)(x - 1) = 0 \\ \\ 2x + 5 = 0 \\ 2x = - 5 \\ x = - (5)/(2) \\ \\ x - 1 = 0 \\ x = 1

answered
User Patryk Czachurski
by
8.3k points
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