Answer: the answer only -2/25
Step-by-step explanation:
[tex](5x + 3)^{2}= (\sqrt{3x+7} )^{2}[/tex]
[tex]25x^{2} +30x++9 = 3x+7[/tex]
[tex]25x^{2}+27x+2=0[/tex]
[tex](x+1)(25x+2)=0[/tex]
[tex]x=-1 , -\frac{2}{25}[/tex]
Check
[tex]x=-1[/tex]
[tex]5(-1)+3 =\sqrt{3(-1)+7}[/tex]
[tex]-2 =2[/tex]
The equality is false.
[tex]x=-\frac{2}{25}[/tex]
[tex]5(-\frac{2}{25} )+3 =\sqrt{3(-\frac{2}{25} )+7}[/tex]
[tex]\frac{13}{5}= \frac{13}{5}[/tex]
The equality is true.
[tex]x\neq -1[/tex]
[tex]x=-\frac{2}{25}[/tex]
Please give me a brainliest answer
