Write fractions for points a and b on the number line

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Ответ:

kledi72

24.07.2022

Mathematics

$-7.60,\ -4.47$

Step-by-step explanation:

Given

f(x)=-1.3x^2-15.7x-44.2

The solution of the standard quadratic equation ax^2+bx+c=0 has solution

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

Applying the above principle

$\Rightarrow x=\dfrac{15.7\pm\sqrt{(-15.7)^2-4(-1.3)(-44.2)}}{2(-1.3)}\\\\\Rightarrow x=\dfrac{15.7\pm\sqrt{246.49-229.84}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm \sqrt{16.65}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm 4.08}{-2.6}\\\\\Rightarrow x=-7.60,\ -4.47$

The zeroes of the equation are -7.60, -4.47.

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