Question

3. Find quadratic polynomial if sum & product of its zeroes are 4,-1.
4. Check whether the following pair of linear equations are consistent or inconsistent :
3x + 2y = 5, 2x – 3y = -7​

Answer 1

Question 01:

Sum of zeroes = α + β = 4

Product of zeroes = αβ = 1

The quadratic polynomial = x2 – (sum of zeroes)x + product of zeroes

= x2 – (4)x + 1

= x2 – 4x + 1

Question 02:

$a_1 = 3 \\ b_1 = 2 \\ c_1 = 5 \\ \\ a_2 = 2 \\ b_2 = - 3 \\ c_2 = - 7 \\ \\ \tt \: \frac{ a_1}{a_2} = \frac{b_1}{ b_2} = \frac{ c_1}{c_2} \\ \\ \tt \: \frac{3}{2 } ≠\frac{2}{ - 3} ≠ \frac{5}{ - 7}$

So,lines intersect at only one point. Exactly solution or unique solution is possible and the pair is consistent.

$\sf \: @WildCat7083$

Answer 2

Step-by-step explanation:

Q3) ;x^2-4x-1 according to x^2-(A+B)x+AB

Q4) IT IS INCONSISTENT