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3 years ago

X^2-4x+3=0 write it in standard form.

Mathematics

2 answers:

Oliga [24]3 years ago

6 0

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

trasher [3.6K]3 years ago

4 0

Answer:

√

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of

completing the square

the coefficient of the

term is 1

∙

add subtract

(

coefficient of the x-term

) 2 to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

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