Question

Find the nature and roots of the quadratic equations
2x²+5x+2=0
​

Answer 1

Answer:

the roots are -4 and -1/2

less than zero

Step-by-step explanation:

For the nature of the roots and the roots we use either middle term splitting or quadratic formula

2x² + 5x + 2 = 0

2x² + 4x + x + 2 = 0

2x(x+4) + 1 (x+4) = 0

(x+4)(2x+1) = 0

therefore the roots are -4 and -1/2

hence the roots are both negative or better said less than zero