Question

solve the following sub questions 1 write the quadratic equation if the sum of the roots is 10 and product of the root is 9​

Answer 1

Answer:

the quadratic equation if the sum of the roots is 10 and product of the root is 9

$a {x}^{2} + bx + c = 0$

the sum of the roots is 10

$\alpha + \beta = - \frac{b}{a} = 10$

product of the root is 9

$\alpha \times \beta = \frac{c}{a} = 9$

The required quadratic equation is,

${x}^{2} - 10x + 9 = 0$

and the solution is,

${x}^{2} - 10x + 9 = 0 \\ {x}^{2} - 9x - x + 9 = 0 \\ x(x - 9) - 1(x - 9) = 0 \\ x = 1 \: \: \: or \: \: \: x = 9$