Question

if the product of the root of equation x2 -3x +k = 10is -2 then the value of k is ​

Answer 1

$\huge\underline{\bf \orange{Solution :}}$

Let's α and β be the zeroes of equation , then

$\implies\sf\alpha \times \beta = \dfrac{c}{a}$

Here

• a = 1
• b = - 3
• c = k
• α × β = - 2

Substitute values in formula

$\implies\sf - 2 = \frac{k}{1} \\ \\ \implies \underline{\boxed{\sf k = - 2}}$

Answer 2

x²-3x+k-10=0

sum=-b/a=3

product =k-10

k-10=-2

k-10+2=0

k=8 is the answer