Question

If ‘a’ and ‘b’ are the zeroes of the quadratic polynomial x2 -3x+2; find the value of

Answer 1

Answer:

please complete your question dear ..... I will try my best

Answer 2

$\huge\tt\red{Answer}$

.Given the quadratic expression x2−5x+k

 Here, a=1,b=−5 and c=k

We know by rule of sum and product of roots that,

$\sf \: \alpha + \beta \: = \: \frac{ - b}{a} \: = \: - \frac{ - 5}{1} \: = \: 5$

$\sf \: \alpha \beta \: = \: \frac{c}{a} \: = \: \frac{k}{7} \: = \: k$

Given that α−β=1

 Squaring both sides, we get,

(α−β)^2=1 

⇒α^2+β^2−2αβ=1

⇒(α^2+β^2+2αβ)−4αβ=1

⇒(α+β)^2−4αβ=1

⇒(5)^2−4k=1

∴k=6