solve by formula method if equations is 5xsquare-22x-15=0
Answers
Answer:
Solution
By using middle term split method,
5x
2
−22x−15=0
⇒5x
2
−25x+3x−15=0
⇒5x(x−5)+3(x−5)=0
⇒(x−5)(5x+3)=0
Either x−5=0⇒x=5 or 5x+3=0⇒x=−
5
3
Answer:
The roots of the equation are X=5 or X= -3/5
Step-by-step explanation:
Given : 5x² - 22x - 15 = 0
Solution : The given equation is in the form ax² + bx +c = 0
a=5, b=-22 and c = -15
∴ Roots of quadratic equation = (-b±√(b²-4ac))/2a
= (-(-22)±√((-22)²-4x5x-15))/2x5
= (22±√(484+300))/10
= (22±√784)/10
= (22+28)/10 or (22-28)/10
= 50/10 or -6/10
= 5 or -3/5