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  • 20-11-2020
  • Mathematics
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What are the roots of the equation x(x + 10) +20 = -5?
B5.5
C. 10,2​

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Аноним Аноним
  • 20-11-2020

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

STEP 1: Simplify each term.

[tex]x^2+10x+20=-5[/tex]

STEP 2: Move 5 to the left side of the equation by adding it to both sides.

[tex]x^2+10x+20+5=0[/tex]

STEP 3: Add 20 and 5.

[tex]x^2+10x+25=0[/tex]

STEP 4: Factor using the perfect square rule.

[tex](x+5)^2=0[/tex]

STEP 5: Set the x+5 equal to 0.

[tex]x+5=0[/tex]

STEP 6: Subtract 5 from both sides of the equation.

[tex]x=-5[/tex]

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