Giải giúp em bài này vs

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Hailey1313131313

18.12.2020

Mathematics

x = 1.19258 and x = −4.19258

Step-by-step explanation:

The given equation is :

x^2+3x-5=0

Keep x terms on the left and move the constant to the right side by adding it on both sides.

x^2+3x=5

Take half of the x term and square it.

$(3\times \dfrac{1}{2})^2=\dfrac{9}{4}$

then add the result to both sides

$x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}$

So,

x = 1.19258 and x = −4.19258

Hence, this is the required solution.

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