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one of the roots of 2x²+x -3 = 0 is 1. what is the other root?
a. 3/2
b.2/3
c.-2/3
d.-3/2​


Sagot :

The answer is letter D. -3/2

SOLUTION: solved by Factoring

2x² + x - 3 = 0

Write x as a difference

→ 2x² + 3x - 2x - 3 = 0

Factor out x from the expression in 2x² + 3x - 2x - 3 = 0

→ x(2x + 3) - 2x - 3 = 0

Factor out the negative sign from the expression in 2x² + 3x - 2x - 3 = 0

→ x(2x + 3) - (2x + 3) = 0

Factor out 2x + 3 from the expression

→ (2x + 3) (x - 1) = 0

Split up into two possible cases

→ 2x + 3 = 0

x - 1 = 0

Solve the equation for x

→ 2x = -3

x = 1

→ x = - 3/2

x = 1

→ x = - 3/2 ; x = 1