Question

Find the nature of roots of the quadratic equation x2 – 3x – 10 = 0.

Answer 1

Answer:

-3x +2x-10=0

-X -10=0

x=-10

therefore, no real roots

Answer 2

Finding nature root:

Step-by-step explanation:

$\ Given \ value: \\\\\ x^2 \ - 3\ x \ - \ 10 \ = \ 0 \\\\\ Solution: \\\\\rightarrow \ x^2 \ - 3\ x \ - \ 10 \ = \ 0 \\\\\rightarrow \ x^2 \ - (5-2)x \ - \ 10 \ = \ 0 \\\\\rightarrow \ x^2 \ - 5x+2x - \ 10 \ = \ 0 \\\\\rightarrow \ x(x \ - 5)+2(x - \ 5 )\ = \ 0 \\\\\rightarrow (x \ - 5)(x+2)\ = \ 0 \\\\\rightarrow x \ - 5 = 0 \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x+2 \ = \ 0 \\\\\rightarrow x \ = 5 \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x \ = \ - 2 \\\\\ The \ nature \ root \ is \ = \ 5$

Learn more:

• Nature root: https://brainly.in/question/15436371