what is the nature of roots of 2x²-3x=-7 ​

Sagot :

Answer:

Transform the equation to a standard form

[tex]2x^2-3x+7=0[/tex]

Solve the discriminant by getting its a,b,c

[tex]a=2\\b=-3\\c=7[/tex]

[tex]b^2-4ac[/tex]

[tex]-3^2-4(2)(7)[/tex]

[tex]9-72[/tex]

[tex]-63[/tex]

since its discriminant is ∠0 or less than 0

nature of roots: the roots are imaginary

Step-by-step explanation: