Please answer quick algebra Q?

What number must you add to complete the square?

x^2 + 26x = 11

Comments

  • (x^+13)^2=x^2+2x13+13^2=X^2+26X+169

    so

    if

    X^2+26X+169-11-169=X^2+26X+169-180=X^2+26X-11=0

    or X^2+26X=11

    ......ans -180....

  • to get (x + 13)(x + 13) on one side of the equation (completing the square), gives x^2 +26x + (13^2 = 169) = 11 + 169 = 180.

  • To complete the square you must half the co-efficient of x, square it, and add it too both sides. In this question you would halve 26, giving you 13, square it, giving you 169, the adding it to both sides. Your final equation should look like

    x^2 + 26x + 169 = 180

    you can then factorise this.

  • 169 (divide the number in front of the x by 2 and square it. Add it to the other side of the equal sign to balance out the equation)

  • anticipate that the cube are 6-sided. in accordance the to multiplication counting concept, the style of outcomes in a pattern area would be m*n, the place m and n are the finished style of outcomes consistent with jointed-adventure. enable m = 6, and m=n. So the finished style of outcomes is 6*6*6, that's 216.

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