Home
Class 10
MATHS
Four steps to derive the quadratic formu...

Four steps to derive the quadratic formula are shown below .
(I) `x^(2)+(bx)/a=(-c)/a`
(II) `(x+b/(2a))^(2)=(b^(2)-4ac)/(4a^(2))`
(III) `x =pm sqrt((b^(2)-4ac)/(4a^(2)))-b/(2a)`
(IV) `x^(2)+(bx)/a +(b/(2a))^(2)=(-c)/a + (b/(2a))^(2)`
What is the correct order for these steps ?

A

I,II,III,Iv

B

IV,II,I,III

C

I,Iv,II,III

D

I,III,II,IV

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Quadratic Equations) (Very Short Answer Type Questions )|5 Videos
  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Quadratic Equations) (Short Answer Type Questions )|16 Videos
  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Polynomials) (Very Short Answer Type Questions )|14 Videos
  • COORDINATE GEOMETRY

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT |20 Videos
  • INTRODUCTION TO TRIGONOMETRY

    OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

Similar Questions

Explore conceptually related problems

a^2-b^2-4ac+4c^2

If alpha,beta are the zeros of the polynomial f(x)=ax^(2)+bx+c, then (1)/(a^(2))+(1)/(beta^(2))=(b^(2)-2ac)/(a^(2)) (b) (b^(2)-2ac)/(c^(2))(c)(b^(2)+2ac)/(a^(2))(d)(b^(2)+2c)/(c^(2))

If ax^(2)+bx+c=0 has equal roots,then c=-(b)/(2a)(b)(b)/(2a)(c)(-b^(2))/(4a) (d) (b^(2))/(4a)

Solve the following quadratic equation by factorization method: ( ) x^(2)-2ax+a^(2)-b^(2)=0(ii)x^(2)-4ax+4a^(2)-b^(2)=0(iii)4x^(2)-4ax+(a^(2)-b^(2))=0(iv)4x^(2)-4a^(2)x+(a^(4)-b^(4))=

Solve the following quadratic equation for x:4x^(2)+4bx-(a^(2)-b^(2))=0

If sqrt((125 a^(6) b^(4) c^(2))/(5a^(4) b^(2))) = x, " then find " (x^(2))/(abc)

If a,b,c are in AP,then prove that (a-c)^(2)=4(b^(2)-ac)

if a,b,c are in AP, prove that (a-c)^(2) = 4( b^(2) -ac)

If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)) then bx^(2)+b =