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1 vote
Solve the quadratic equation
1)x²+16-48=0​

User Ijoseph
by
5.9k points

2 Answers

4 votes

Answer:

X=12

X=4

Explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • 48 = 48

Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is -16 .

-48 + -1 = -49

-24 + -2 = -26

-16 + -3 = -19

-12 + -4 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -4

x2 - 12x - 4x - 48

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-12)

Add up the last 2 terms, pulling out common factors :

4 • (x-12)

Step-5 : Add up the four terms of step 4 :

(x-4) • (x-12)

Which is the desired factorization

User Kayasa
by
5.4k points
1 vote

Answer:

x = 12

x = 4

Explanation:

User Joel Jonsson
by
5.8k points