Home
Class 10
MATHS
Find the zeros of f(x) = 6x^(2) - 3 and ...

Find the zeros of `f(x) = 6x^(2) - 3` and verify the relationship between zeros and coefficients.

Text Solution

Verified by Experts

The correct Answer is:
Hence `alpha + beta = - (b)/(a) and alpha beta = (c)/(a)` .
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Competitive exam questions )|5 Videos

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Long answer [LA] type questions )|13 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS (HOTS)|12 Videos

  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

Find the zeros of these polynomials and verify the relationship between zeros and coefficients. i] f(x) = x^(2) - (sqrt(3) + 1) x + sqrt(3) ii] f(v) = v^(2) + 4 sqrt(3) v - 15 iii] q(y) = 7y^(2) (11)/(3) y - (2)/(3)

Find all the zeroes of f(x) = x^(2) - 2x .

Find the zeroes of the polynomial x^(2)-3 and verify the relationship between the zeroes and the coefficients.

Find the zeroes of the quadratic polynomial x^(2)+7x+10 , and verify the relationship between the zeroes and the coefficients.

Verify whether 3, -1 and -(1)/(3) are the zeroes of the cubic polynomial p(x)=3x^(3)-5x^(2)-11x-3 , and then verify the relationship between the zeroes and the coefficients.

Obtain the zeros of the quadratic polynomial sqrt(3) x^(2)- 8x + 4 sqrt(3) and verify the relation between its zeros and coefficients.

(i) Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in this case: 2x^2+x^2-5x+2, 1/2,1,-2 (ii) Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in this case: x^3-4x^2+5x-2,2,1,1

Find zeros of polynomials by the algebraic method and verify the relationship between the zeros and coefficient of the polynomial t^(3) - 2t^(2) - 15 t

Verify that the number given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case. i] 2x^(3) + x^(2) - 5x + 2, (1)/(2),1,-2 ii] x^(3) - 4x^(2) + 5x - 2, 2,1,1

(i)Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. x^2-2x-8 (ii)Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 4s^2-4s+1 (iii)(Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 6x^2-3-7x ) (iv)Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 4u^2+8u (v)Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. t^2-15 (vi)Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 3x^2-x-4