That is, if the parabola has indeed two real solutions. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. We know this even before plotting "y" because the coefficient of the first term, -1 , is negative (smaller than zero).Įach parabola has a vertical line of symmetry that passes through its vertex. Our parabola opens down and accordingly has a highest point (AKA absolute maximum). Parabolas have a highest or a lowest point called the Vertex. Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator. Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero. Step 7 : When a fraction equals zero : 7.1 When a fraction equals zero.
Step-2 : Find two factors of -23780 whose sum equals the coefficient of the middle term, which is 30.Ĭonclusion : Trinomial can not be factored Equation at the end of step 6 : -s 2 + 30s + 23780 Step-1 : Multiply the coefficient of the first term by the constant -1 The middle term is, +30s its coefficient is 30. The first term is, -s 2 its coefficient is -1. Observation : No two such factors can be found !!Ĭonclusion : Trinomial can not be factoredĦ.3 Adding up the two equivalent fractions Step-2 : Find two factors of 220 whose sum equals the coefficient of the middle term, which is -30.įor tidiness, printing of 18 lines which failed to find two such factors, was suppressed Step-1 : Multiply the coefficient of the first term by the constant 1 The middle term is, -30s its coefficient is -30. The first term is, s 2 its coefficient is 1. Trying to factor by splitting the middle term Rewrite the whole as a fraction using 10 as the denominator : 2400 2400 Step 6 : Rewriting the whole as an Equivalent Fraction : Rewrite the whole as a fraction using 10 as the denominator : 22 22 Īdding fractions that have a common denominator :ĥ.2 Adding up the two equivalent fractionsĮquation at the end of step 5 : (s 2 - 30s + 220) Step 4 : Rewriting the whole as an Equivalent Fraction : Rewrite the whole as a fraction using 10 as the denominator : 3s 3s Įquivalent fraction : The fraction thus generated looks different but has the same value as the wholeĬommon denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator Adding fractions that have a common denominator :ģ.2 Adding up the two equivalent fractionsĪdd the two equivalent fractions which now have a common denominatorĬombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: s 2 - (3s Įquation at the end of step 3 : (s 2 - 30s) Step 3 : Rewriting the whole as an Equivalent Fraction : Step 2 : Equation at the end of step 2 : s 2 Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :Ģ400-((1/10)*s^2-3*s+22)=0 Step by step solution : Step 1 : 1 Changes made to your input should not affect the solution:
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