Question

find sum and products of the roots 2x²-x+9=0 ​

Answer 1

${\fcolorbox{red}{pi}{\green{Solution}}}$

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Step by step solution :

STEP

1

:

Equation at the end of step 1

(2x2 + x) - 9 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 2x2+x-9

The first term is, 2x2 its coefficient is 2 .

The middle term is, +x its coefficient is 1 .

The last term, "the constant", is -9

Step-1 : Multiply the coefficient of the first term by the constant 2 • -9 = -18

Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 1 .

-18 + 1 = -17

-9 + 2 = -7

-6 + 3 = -3

-3 + 6 = 3

-2 + 9 = 7

-1 + 18 = 17

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

2

:

2x2 + x - 9 = 0

HOPE IT HELPS ❤️