kaileefpalacioox6hx4 kaileefpalacioox6hx4

10-07-2020
Mathematics

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Select the two values of x that are roots of this equation.
3x - 5 = -2x2

Select the two values of x that are roots of this equation 3x 5 2x2 class=

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jenandjaida jenandjaida

10-07-2020

Solution:

3x - 5 = -2x²

2x² + 3x - 5 = 0

By splitting the middle term,

2x² - 2x + 5x - 5 = 0

2x (x - 1) + 5 (x - 1) = 0

(2x + 5)(x - 1) = 0

So, 2x + 5 = 0

x = -5/2

(OR)

x - 1 = 0

x = 1

The roots of 2x² + 3x - 5 = 0 are: A. x = 1 & B. x = -5/2

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