Solve the quadratic equation t²-6t+5=0 by completing the square and
tally the answer by factorisation method
Answers
The first term is, t2 its coefficient is 1 .
The middle term is, -6t its coefficient is -6 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 1 • 5 = 5
Step-2 : Find two factors of 5 whose sum equals the coefficient of the middle term, which is -6 .
-5 + -1 = -6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -1
t2 - 5t - 1t - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
t • (t-5)
Add up the last 2 terms, pulling out common factors :
1 • (t-5)
Step-5 : Add up the four terms of step 4 :
(t-1) • (t-5)
Which is the desired factorization
po
Step-by-step explanation:
t²-6t+5=0
right answer is (t=1,5).