Question

5 root 5 x square +30 x + 8 root 5

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer: Given,

5$\sqrt{5}x^{2}$+ 30x + 8$\sqrt{5}$=0

Step-by-step explanation: Now, we will solve it by complete square          method.

5$\sqrt{5}x^{2}$+ 30x +$8\sqrt{5}$=0

Multiply the equation by $5\sqrt{5}$.

So, we have

$25\sqrt{25} x^{2}$+$150\sqrt{5}x$+$40\sqrt{25}$=0

→$(5\sqrt{5}x) ^{2}$+(2)(5$\sqrt{5}$x)(15)+$(15)^{2}$-$(15)^{2}$+(40)(5)=0

→$(5\sqrt{5}x+15) ^{2}$-(225)+(200)=0

→$5\sqrt{5}x+15 = \sqrt{25}$      and      →$5\sqrt{5}x+15 = -\sqrt{25}$

→$x=5-15/5\sqrt{5}$         and      →$x=-5-15/5\sqrt{5}$

→$x=(-10/5\sqrt{5})(5\sqrt{5}/5\sqrt{5})$       and      →$x=(-20/5\sqrt{5})(5\sqrt{5}/5\sqrt{5})$    

→$x=-50\sqrt{5}/125$          and       →$x=-100\sqrt{5}/125$

→$x=-2\sqrt{5}/5$                and      →$x= 4\sqrt{5}/5$

So, the values of x are above.

We can also solve it by factorisation and equation.