Answer:
Value of a = 7/6 and a = -1/5
Step-by-step explanation:
We need to solve the equation
30a^2 -7 = 29a
Adding -29a on both sides
30a^2-29a-7=0
Solving the quadratic equation using quadratic formula.
[tex]a=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
here a= 30, b =-29 and c=-7
Putting values, and finding the value of a
[tex]a=\frac{-(-29)\pm\sqrt{(-29)^2-4(30)(-7)}}{2(30)}\\a=\frac{29\pm\sqrt{841+840}}{60}\\a=\frac{29\pm\sqrt{1681}}{60}\\a=\frac{29\pm41}{60}\\a=\frac{29+41}{60} \,\, and \,\,a=\frac{29-41}{60}\\a=\frac{70}{60} \,\, and \,\,a=\frac{-12}{60}\\a=\frac{7}{6} \,\, and \,\,a=\frac{-1}{5}[/tex]
So, value of a = 7/6 and a = -1/5
