Math, asked by pratiknimkar805, 4 months ago

Form a quadratic equation if its roots are 1/2 and -3/4​

Answers

Answered by samarthpanchal4
2

The equation whose roots are 1 \div 2 and −3 \div 4 are</p><p></p><p>(x−21)(x+43)=0</p><p></p><p></p><p>⇒x2+43x−2x−83=0</p><p></p><p></p><p>⇒x2+43x−2x−83=0</p><p></p><p></p><p>⇒x2+4x−83=0</p><p></p><p></p><p>⇒x2+82x−3=0</p><p></p><p></p><p>⇒88x2+2x−3=0</p><p></p><p>8x2+2x−3=0</p><p></p><p></p><p>

is

the correct

answer

Answered by raghavgulati1010
3

Answer:

let the roots be à and ß

à = 1/2

ß = -3/4

à+ß= 1/2+(-3/4)

= 1/2-3/4

= -1/4

àß= -3/8

every quadratic equation is in form of

K{x²-(sum of roots)x+(product of roots)}

so eqation formed is: K(x²+1/4x-3/8) for any value of K

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