Question

Solve the following quadratic equation by factorization

x^2+11 x+30= 0
Compare x2+2x-9=0 with ax2+bx+c=0 ,
a = 1 , b = 2 , c = ___,
Compare x2+2x-9=0 with ax2+bx+c=0 ,
a = 1 , b = 2 , c = ___,
b^2 – 4ac = 2^2 – 4 x 1 x ___
= ___
=_____
b^2 – 4ac ____ 0
The roots of the equation are ______.

Answer 1

Answer:

an example

Step-by-step explanation:

Roots of the quadratic equation ax

2

+bx+c=0 are non real.

⇒b

2

−4ac<0 -----(1)

Now, for the expression a

2

x

2

+abx+ac,

Δ=a

2

b

2

−4a

3

c=a

2

(b

2

−4ac)<0 from (1)

Since, discriminant value is less than zero, coefficient of x

2

and expression always have same sign.

∴a

2

x

2

+abx+ac>0

Hence, option A.

Answer 2

Step-by-step explanation:

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