Question

find the roots of following quadratic equations by factorisation x2-3x-10=0​

Answer 1

Answer:

The roots of the equation are 5 and -2

Step-by-step explanation:

x^2 - 3x - 10 = 0

Splitting the middle term(i.e. 3x) into appropriate terms,

x^2 - 5x + 2x - 10 = 0

x ( x - 5 ) + 2 ( x - 5 ) = 0

Taking the common term(i.e. (x - 5) ),

(x - 5 ) ( x + 2 ) = 0

Applying zero product rule,

(1.) x - 5 = 0$~~~~~~~~~~~~$ (2.) x + 2 = 0

=> x =5$~~~~~~~~~~~~~~~~~~$=> x = - 2

Hence, the roots of the equation are 5 and -2.