Question

3. The roots of the quadratic equation x2-3x - 10 =0 are:
a) 2,-5 b)-2,5
c) 2,5 d) 6​

Answer 1

Answer:

5,-2

Step-by-step explanation:

x2-3x-10=0

x2-5x+2x-10=0

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

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

x=5,-2

Answer 2

The roots of the quadratic equation x² - 3x  - 10 = 0  are :

     x²  -  3x  - 10  =  0

→   x²  -  ( 5x - 2x ) - 10 = 0

→   x²  - 5x + 2x - 10 = 0

→   x ( x - 5 ) + 2 ( x - 5 ) = 0

→   ( x + 2 )  ( x - 5 ) = 0

( x+2 ) = 0

x = -2

( x-5 ) = 0

x = 5

therefore,

option (b) -2 , 5 is the correct answer