Quadratic Equation Practice. Have Fun!

Algebra Level 2

x 2 + 39 x + 338 = 0 \large x^2 + 39x + 338 = 0

Find the smaller solution x x to the equation above.


The answer is -26.

Factored Radical by Factored Radical , 21, USA

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1 solution

Factored Radical
Apr 5, 2017

Factor this quadratic into the two binomials: (x+26) (x+13). From this we can infer that the two answers are: -13, -26. Because I asked for the smaller answer, the answer to the problem is: -26.

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Factored Radical - 4 years, 2 months ago

Aviral, you can't just write infer . You have to write it as ( x + 26 ) ( x + 13 ) = 0 (x+26)(x+13)=0 . To make that 0, one of the two parts, ( x + 26 ) = 0 or ( x + 13 ) = 0 (x+26)=0 \quad \text{or} \quad (x+13)=0 , so that the whole equation would be 0.

x + 26 = 0 , x = − 26 x+26=0, x=-26

x + 13 = 0 , x = − 13 x+13=0, x=-13

Therefor, the smaller one would be x = − 26 \large\color{#D61F06}\boxed{x=-26} .

Terry Yu - 3 years, 6 months ago

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