Question

x^2-13✓2x-60 factories​

Answer 1

Step-by-step explanation:

Example: Find the factors of 6x2 - 13x + 6

6x2 - 13 x + 6 ----->(1)

a.c = Product of 6 and 6 = 36

Factors of 36 = 2,18

= 3,12

= 4,9

Only the factors 4 and 9 gives 13-->(4 + 9)

For -13 , both the factors have negative sign. – 4 – 9 = - 13

Equation (1) ⇒ 6x 2 - 4x – 9x + 6

⇒2x ( 3x – 2 ) – 3 ( 3x – 2 )

⇒(3x – 2 ) ( 2x – 3) are the factors.

Answer 2

Answer:

x^2-13✓2x-60 = 0

x^2 -(15√2 - 2√2)x - 60 = 0

x^2 - 15√2x + 2√2x - 60 = 0

x(x - 15√2) + 2√2(x - 15√2) = 0

(x - 15√2)(x + 2) = 0

x = 15√2, x = - 2