No products in the cart.

Find the zeros of the quadratic …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Find the zeros of the quadratic pilynomial x^2+7x+10 and verify the relationship between zeros and coefficient
  • 1 answers

Sia ? 4 years, 9 months ago

The zeros of f(x) are given by f(x) = 0
{tex} \Rightarrow {/tex}x2 + 7x + 10 = 0
{tex}\Rightarrow {/tex}(x + 5)(x + 2) = 0
{tex}\Rightarrow {/tex} x + 5 = 0 or, x + 2 = 0
{tex}\Rightarrow {/tex} x = -5 or, -2
Thus, the zeroes of f(x) = x2 +7x + 12 are {tex}\alpha = - 5 \text { and } \beta = - 2{/tex}

 {tex}\alpha + \beta{/tex}= (-5) + (-2) = -7.......(1)

and  {tex}\alpha\beta=(-5)(-2)=10.….....(2){/tex}

In the eqn x​​​​​2​​​ +7x+10=0

a=1,b=7,c=10

So  {tex}\alpha +\beta =\frac{-b}{a}=\frac{-7}{1}=-7..........(3){/tex}

and {tex}\alpha\beta=\frac ca=\frac{10}{1}=10........(4)..{/tex}

Hence from (1) and (3) sum of zeros and from (2) ,and (4) product of zeros is verified.

http://mycbseguide.com/examin8/

Related Questions

3×+2y=5
  • 1 answers
X²-3x-4=0
  • 0 answers
Find the zeros of polynomial x²+5x-24
  • 2 answers
[ ]/[ ] of 125 =100
  • 0 answers
2x-3y=8 answer
  • 0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App