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The relationship between root and coefficient of quadratic equation with one variable

2022-07-06 21:37:00 【m0_ sixty-six million eight hundred and seventeen thousand two 】

a x 2 + b x + c = 0 ax^2+bx+c=0\\ ax2+bx+c=0 ⇒ ( x − x 1 ) ( x − x 2 ) = 0 \Rightarrow (x-x_1)(x-x_2)=0\\ ⇒(x−x1​)(x−x2​)=0 { x 1 + x 2 = − b a x 1 x 2 = c a \left\{ \begin{aligned} x_1+x_2&=-\frac{b}{a}\\ x_1x_2&=\frac{c}{a} \end{aligned} \right. ⎩⎪⎨⎪⎧​x1​+x2​x1​x2​​=−ab​=ac​​

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