Question

9. 5. Solve any one of the following subquestions :
(1) Study the equation xsquare + 10x = -2 and write answers to the
following questions in your own words:
(a) Is this a quadratic equation? Why?
(b) Can you solve this equation by the method of
factorisation? Give reason
(c) is the left hand side of the equation a perfect square?
Which term should be added to make it a perfect square?​

Answer 1

Answer with Step-by-step explanation:

Given:

$x^2+10x=-2$

a.Yes, it is quadratic equation because highest power of x=2

b.$x^2+10x+2=0$

Product of zeroes=2

Sum of zeroes=-10

By comparing with

$x^2-(\alpha+\beta)+\alpha\beta$

By factorization we can not find the zeroes of equation because it is not possible to find the numbers whose product is equal to 2 and sum =-10.

c.No, left hand side of the equation is not a perfect square.

When 25 is added on both sides

$x^2+10x+25=-2+25=23$

$x^2+2\times x\times 5+5^2=23$

$(x+5)^2=23$

By using the formula

$(a+b)^2=a^2+b^2+2ab$

#Learn more:

https://brainly.in/question/9702009:Answered by Piyush