Question

Which of the following equations has no real roots ?
(a) x2 - 4x +372 = 0 (b) x2 + 4x - 3/2 = 0
(C) x - 4x – 31 2 = 0 ) 3x2 + 473x + 4 = 0​

Answer 1

Answer:

answer is(a)

by the formula

b2-4ac=0

put the value

4*4-4*1*372=0

16-1488=0

1472

Answer 2

Explanation:

among all options

option (a) has no real roots

proof :

here , equation is $x^2-4x+3\sqrt{2}=0$

using the discriminant formula

$b^2-4ac$

here , b = -4

a = 1

c= 3√2

then

$(-4)^2-4(1)(3\sqrt{2})\\\\16-16.97 \\\\=-0.97$

so here ,

d<0 thus , it has no real roots

hence option (a)

#Learn more :

https://brainly.in/question/2380246