What is the discriminant of the polynomial 4x^2 - 20 x + 25 ?

Hello from MrBillDoesMath!

0

Discussion:

For the quadratic ax^2 + b^x + c, the discriminant is b^2 - 4ac. In our case, the discriminant is

(-20)^2 - 4 (4)(25) =

400      - 4 (100)   =

0

(This means the polynomial has a duplicate root. In fact it factors as          (2x-5)^2       ).

Thank you,

MrB

-12x+ 25 hopes this helps

Step-by-step explanation:

4x 2 - 20 x + 25

8x - 20x +25

-12x + 12

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this