Question

4) For a quadratic equation 3x2-6x+5=0 find the value of b2-4ac
A)24
B)100
C)-64
D)-24​

Answer 1

Answer:

STEP1:Equation at the end of step 1

(3x2 - 6x) - 5 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  3x2-6x-5 

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -5 = -15 

Step-2 : Find two factors of  -15  whose sum equals the coefficient of the middle term, which is   -6 .

     -15   +   1   =   -14     -5   +   3   =   -2     -3   +   5   =   2     -1   +   15   =   14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step2:

3x2 - 6x - 5 = 0

STEP3:

Parabola, Finding the Vertex: