Find the measures of the numbered angles in each kite.

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chem64

15.09.2020

Mathematics

The required solution is $x=2,-\dfrac{1}{3}.$

Step-by-step explanation: We are given to solve the following quadratic equation :

3x^2-5x-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To solve the given equation, we will use the method of factorization.

The solution of equation (i) is as follows :

$3x^2-5x-2=0\\\\\Rightarrow 3x^2-6x+x-2=0\\\\\Rightarrow 3x(x-2)+1(x-2)=0\\\\\Rightarrow (x-2)(3x+1)=0\\\\\Rightarrow x-2=0,~~~3x+1=0\\\\\Rightarrow x=2,-\dfrac{1}{3}.$

Thus, the required solution is $x=2,-\dfrac{1}{3}.$

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