Question

Solve the quadratic equation (2x – 1)(x + 2) = 3. Give your answer correct to two significant figures.

Answer 1

Answer:

1 or -5/2

Step-by-step explanation:

Multiply the terms

=2x^2+4x-2=3

Transpose 2 on the rhs

=2x^2 + 3x = 3+2

=2x^2 + 3x = 5

transpose 5 on the lhs

=2x^2 +3x -5 = 0

solve the equation

= 2x^2 + 5x-2x -5 = 0

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

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

thus, x=1 or x=-5/2