Math, asked by sofiya, 1 year ago

Find the sum and product of roots of under root 3X ^2 _under root 6x_3 = 0

sofiya: Please send answes⏳

thinkdifferent: Give me a min

sofiya: OKAY

sofiya: Can u answer my fewmore questions

sofiya: If x_3 is a common factor of x^2_ x+p=0 and x^2 + X +q=0 then find p:q

thinkdifferent: Put x=3 in both the equations we get p= -6 and q= -12 then p:q = -6/-12 = 1/2 answer

Answers

Answered by thinkdifferent

✔️3x^2 -✔️6x-3=0 comparing it with ax^2 + bx +c =0 we get a= ✔️3 , b = -✔️6 and c= -3 now sum of roots = -b/a = ✔️6/✔️3 =✔️2 and product of roots = c/a = -3/✔️3 = -✔️3 answer

Answered by Anonymous

so for the quadratic equation ax² + bx + c = 0

sum of roots , s = -b/a

product of the roots, p = c/a

so for the equation $\sqrt{3}x^2- \sqrt{6}x-3=0$

we have a = √3 , b = - √6 , c = - 3

so s = √2

and p = -√3

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