Answer:
x = -0.441 and x = -2.359
Step-by-step explanation:
The given equation is :
[tex]2(5x+7)^2-13=33[/tex]
Adding 13 to both sides of the equation.
[tex]2(5x+7)^2-13+13=33+13\\\\2(5x+7)^2=46\\\\(5x+7)^2=23[/tex]
So,
[tex]5x+7=\sqrt{23}\\\\5x+7=\pm4.795\\\\5x=4.795-7, 5x=-4.795-7\\\\5x=-2.205, 5x = -11.795\\\\x=-0.441, x=-2.359[/tex]
So, the solution of the given equation is x = -0.441 and x = -2.359.
