To deal with the equation, variable x^2-6x-40 utilizing formula x^2+left(a+b ight)x+ab=left(x+a ight)left(x+b ight). To uncover a and b, set up a system to be solved.

You are watching: What are the solutions to the equation? x2 + 6x = 40

Since abdominal muscle is negative, a and b have actually the the opposite signs. Due to the fact that a+b is negative, the an unfavorable number has higher absolute value than the positive. List all together integer bag that offer product -40. x2-6x=40 Two options were uncovered : x = 10 x = -4 Rearrange: Rearrange the equation by individually what is to the best of the equal sign from both political parties of the equation : ...
x2-7x-1=0 Two options were found : x =(7-√53)/2=-0.140 x =(7+√53)/2= 7.140 action by step solution : action 1 :Trying to variable by dividing the center term 1.1 Factoring x2-7x-1 The ...
1x2-6x=0 Two services were uncovered : x = 6 x = 0 step by action solution : step 1 : action 2 :Pulling out prefer terms : 2.1 traction out prefer factors : x2 - 6x = x • (x - 6) Equation ...
displaystylex=0ordisplaystylex=3 Explanation: displaystyle2x^2-6x=0 Factoring the expression: displaystyleRightarrowleft( extXX ight)2left(x ight)left(x-3 ight)=0 ...
x = 0 , x = 2Explanation:Factorise the left side and equate each of the factors to zero. displaystyle3x^2-6x=0Rightarrow3xleft(x-2 ight)=0 fix 3x = 0displaystyleRightarrowx=0 ...
4x2-6x=0 Two remedies were found : x = 3/2 = 1.500 x = 0 action by step solution : step 1 :Equation in ~ the end of step 1 : 22x2 - 6x = 0 step 2 : step 3 :Pulling out choose terms : ...
More Items     To solve the equation, element x^2-6x-40 using formula x^2+left(a+b ight)x+ab=left(x+a ight)left(x+b ight). To uncover a and b, set up a mechanism to it is in solved.
Since abdominal muscle is negative, a and b have actually the the contrary signs. Since a+b is negative, the an adverse number has greater absolute value than the positive. Perform all together integer pairs that give product -40.
To deal with the equation, aspect the left hand side by grouping. First, left hand side demands to it is in rewritten as x^2+ax+bx-40. To uncover a and b, collection up a mechanism to be solved.
Since ab is negative, a and also b have actually the opposite signs. Due to the fact that a+b is negative, the an adverse number has greater absolute worth than the positive. Perform all such integer bag that offer product -40.
All equations of the kind ax^2+bx+c=0 have the right to be addressed using the quadratic formula: frac-b±sqrtb^2-4ac2a. The quadratic formula offers two solutions, one as soon as ± is enhancement and one when it is subtraction.
This equation is in standard form: ax^2+bx+c=0. Instead of 1 because that a, -6 for b, and also -40 because that c in the quadratic formula, frac-b±sqrtb^2-4ac2a.
Quadratic equations such together this one have the right to be addressed by completing the square. In order to finish the square, the equation must an initial be in the type x^2+bx=c.
Divide -6, the coefficient the the x term, through 2 to obtain -3. Then add the square of -3 to both political parties of the equation. This step makes the left hand side of the equation a perfect square.

See more: Why Would Drinking Water Cause Nausea After Drinking Water, Nausea After Drinking Water

Factor x^2-6x+9. In general, once x^2+bx+c is a perfect square, the can always be factored as left(x+fracb2 ight)^2.
left< eginarray l l 2 & 3 \ 5 & 4 endarray ight> left< eginarray l l together 2 & 0 & 3 \ -1 & 1 & 5 endarray ight>    EnglishDeutschEspañolFrançaisItalianoPortuguêsРусский简体中文繁體中文Bahasa MelayuBahasa Indonesiaالعربية日本語TürkçePolskiעבריתČeštinaNederlandsMagyar Nyelv한국어SlovenčinaไทยελληνικάRomânăTiếng Việtहिन्दीঅসমীয়াবাংলাગુજરાતીಕನ್ನಡकोंकणीമലയാളംमराठीଓଡ଼ିଆਪੰਜਾਬੀதமிழ்తెలుగు