Question

$\sqrt{2x + 9} + x = 13$
FIND FOR THE VALUE OF X
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Answer 1

Answer:

$\boxed{\bf x=8,20}$

Step-by-step explanation:

$\sqrt{2x+9} +x=13 \\\\ \sqrt{2x+9}=13-x \\\\ 2x+9=(13-x)^2 \\\\ 2x+9=13^2+x^2-2(x)(13) \\\\ 2x+9=169+x^2-26x \\\\ x^2-26x+169=2x+9 \\\\ x^2-26x+169-2x-9=0 \\\\ x^2-28x+160=0 \\\\ x^2-8x-20x+160=0 \\\\ x(x-8)-20(x-8)=0 \\\\ (x-8)(x-20)=0 \\\\ => x=8,20$

Answer 2

Answer:

$\sqrt{2x + 9} + x = 13$

FIND FOR THE VALUE OF X

Answer:x=8,20