To solve the inequality, we first simplify the expression on the left side:
Хsqrt(5) + 16x + 9sqrt(5) < 1=> (Х + 9)sqrt(5) + 16x < 1=> sqrt(5)(Х + 9) + 16*x < 12
Next, we can isolate the x term by subtracting sqrt(5)*(Х + 9) from both sides:
16x < 12 - sqrt(5)(Х + 9=> 16x < 12 - sqrt(5)Х - 9sqrt(5=> 16x + sqrt(5)Х < 12 - 9sqrt(5)
Finally, we can divide by (16+sqrt(5)) to isolate x:
x < (12 - 9*sqrt(5))/(16 + sqrt(5))
Therefore, the solution for the inequality Хsqrt(5)+16x+9sqrt(5) < 12 is x < (12 - 9sqrt(5))/(16 + sqrt(5)).
To solve the inequality, we first simplify the expression on the left side:
Хsqrt(5) + 16x + 9sqrt(5) < 1
=> (Х + 9)sqrt(5) + 16x < 1
=> sqrt(5)(Х + 9) + 16*x < 12
Next, we can isolate the x term by subtracting sqrt(5)*(Х + 9) from both sides:
16x < 12 - sqrt(5)(Х + 9
=> 16x < 12 - sqrt(5)Х - 9sqrt(5
=> 16x + sqrt(5)Х < 12 - 9sqrt(5)
Finally, we can divide by (16+sqrt(5)) to isolate x:
x < (12 - 9*sqrt(5))/(16 + sqrt(5))
Therefore, the solution for the inequality Хsqrt(5)+16x+9sqrt(5) < 12 is x < (12 - 9sqrt(5))/(16 + sqrt(5)).