Then write it as a binomial squared. x^2 - 9x What term should be added to create a perfect square trinomial x^2 + 21x? How to make a perfect square trinomial Add the proper constant to the binomial so that the resulting trinomial is a perfect square. Then f...
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The expression displaystyle5x+3 is an algebraic expression created by multiplying the number 5 with the variable displaystyle x and adding the number 3 to the result. Other examples of algebraic expressions are displaystyle32xyz and displaystyle64x₁²+7x₂-c. Some algebraic expressions take ...
In the special case b² = 4ac where the quadratic has only one distinct root (i.e. the discriminant is zero), the quadratic polynomial can be factored as displaystyleax²+bx+c=aleft(x+fracb2aright)². The solutions of the quadratic equation displaystyleax²+bx+c=0 may be deduced...
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This is equivalent to using the formula displaystylex=frac-2cbpmsqrtb²-4ac using the plus sign if displaystyleb>0 and the minus sign if displaystyleb<0. A second form of cancellation can occur between the terms b² and 4ac of the discriminant, that is when the two roots are very ...
This is equivalent to using the formula displaystylex=frac-2cbpmsqrtb²-4ac using the plus sign if displaystyleb>0 and the minus sign if displaystyleb<0. A second form of cancellation can occur between the terms b² and 4ac of the discriminant, that is when the two roots are very ...
We illustrate use of this algorithm by solving 2x² + 4x − 4 = 0 2x²+4x-4=0 x²+2x-2=0 x²+2x=2 x²+2x+1=2+1 (x+1)²=3 x+1=±√(3) x=-1±√(3) The plus–minus symbol "±" indicates that both x = −1 + √3 and x = −1 − √3 are ...
We illustrate use of this algorithm by solving 2x² + 4x − 4 = 0 displaystyle2x²+4x-4=0 displaystylex²+2x-2=0 displaystylex²+2x=2 displaystylex²+2x+1=2+1 displaystyleleft(x+1right)²=3 displaystylex+1=pmsqrt3 displaystylex=-1pmsqrt3 The plus–minus symbol "±" ...
We illustrate use of this algorithm by solving 2x² + 4x − 4 = 0 displaystyle2x²+4x-4=0 displaystylex²+2x-2=0 displaystylex²+2x=2 displaystylex²+2x+1=2+1 displaystyleleft(x+1right)²=3 displaystylex+1=pmsqrt3 displaystylex=-1pmsqrt3 The plus–minus symbol "±" ...