Null points

Calculate the roots of the equation:

−1∣x+7∣+1∣x+4∣−2∣x−6∣=63

Correct answer:

q =  0

Step-by-step explanation:

 x ∈ (−∞; −7⟩ ⇒ 1 (x +7)  −1 (x +4)  +2 (x −6) = 63  ⇒ x = 36 ∈/​ (−∞; −7⟩  x ∈ (−7; −4⟩ ⇒ −1 (x +7)  −1 (x +4)  +2 (x −6) = 63   x ∈ (−4; 6⟩ ⇒ −1 (x +7)  +1 (x +4)  +2 (x −6) = 63  ⇒ x = 39 ∈/​ (−4; 6⟩  x ∈ (6; +∞) ⇒ −1 (x +7)  +1 (x +4)  −2 (x −6) = 63  ⇒ x = −27 ∈/​ (6; +∞)  P = ∅  q=0

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Do you want to round the number?

You need to know the following knowledge to solve this word math problem:

Grade of the word problem:

Related math problems and questions: