1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Match the quadratic equations with their respective roots.

A
-3 and -2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
-3 and -5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
-3 and 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## Consider the quadratic equation x2+8x+15=0. Comparing the given equation with thee standard form ax2+bx+c=0, where a,b and c are constants (a≠0), we have a=1,b=8 and c=15. Consider the product of a and c. a×c=1×15=15 Factorising a×c such that the numbers add up to b ⇒b=8=5+3 Hence, the quadratic equation can be written as x2+5x+3x+15=0. ⇒(x+5)(x+3)=0 ⇒x=−5,−3 are the roots of the equation. Similarly, x2+5x+6=0 will have 2 and 3 as factors of 6(i.e.,a×c) such that their sum is 5. ⇒(x+2)(x+3)=0 ⇒x=−2,−3 are the roots of the equation. Similarly, x2+x−6=0 will have 3 and -2 as factors of -6(i.e.,a×c) and their sum is 1. ⇒(x−2)(x+3)=0 ⇒x=2,−3 are the roots of the equation.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Factorization
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program