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lutik1710 [3]
3 years ago
9

Find the value of the greater root of x2 - 13x + 12 = 0. A) -12 B) -1 C) 1 D) 12

Mathematics
2 answers:
NISA [10]3 years ago
7 0
B) -1


Hope this helps
Alinara [238K]3 years ago
6 0

Answer:

Option D 12 is the answer.

Step-by-step explanation:

Given is a quadratic equation as

x^2-13x+12=0

To find the roots we can factorise this

Since last term = 12, and middle term -13 we can split middle term as -12 and -1

x^2-12x-x+12 =0\\x(x-12)-1(x-12)=0\\(x-12)(x-1)=0\\x=12: x=1

We know that there are two roots as 12 and 1.

The bigger root is obviously 12.

Option D is the answer

Verify:

Substitute 12 in the equation and check

12^2-13(12)+12=144-156+12=0

Hence our answer is right.

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