Question

find the roots of the following quadratic equations,if they exist 2x^2+x-4=0​

Answer 1

Step-by-step explanation:

Gven equation is 2x²+x-4=0

on comparing with the standard quadratic equation ax²+bx+c =0

a=2;b=1;c=-4

now the value of discriminant =b²-4ac

=>1²-4(2)(-4)

=>1+32

= 33>0

since the discriminant is greater than zero so the given equation has two different and equal roots

by the formula method,

x=[-b±√(b²-4ac)]/2a

=>x=(-1±√33)/2×2

=>x=(-1±√33)/4

the value of x=(-1-√33)/4 and (-1+√33)/4

Roots are (-1+√33)/4 and (-1-√33)/4