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X^ + 4x - 12 = o where did the student go wrong

Step 1 . Factor the polynomial into ( x + 6) and (x - 2)
Step 2. X-6=0 and x+2=0
Step 3. X=6 and X=-2

Respuesta :

kimberlinaa
Step 2: X-6=0 and X-2=0 not X+2=0.
Step 3: X=6 and X=2
alinakincsem

Answer:

Step 2. X-6=0 and x+2=0  and

Step 3. X=6 and X=-2

Step-by-step explanation:

To solve the given quadratic equation [tex]x^{2} +4x -12 = 0[/tex], we look for factors of -12 which add up to give 4.

[tex]x^{2} +4x-12 = 0[/tex]

[tex]x^{2} +6x - 2x-12 = 0[/tex]

[tex]x(x+6)-2(x+6) = 0[/tex]

[tex](x+6)(x-2)[/tex]

[tex]x= -6 and  x=2[/tex]

Step 2 should be x + 6 = 0 and x - 2 = 0;

and step 3 should be x = -6 and x = 2 therefore step 2 and step 3 are wrong.

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