Question

4. Solve the equation 30a2 – 7 = 29a.

Answer 1

Value of a = 7/6 and a = -1/5

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.

`a=(-b\pm√(b^2-4ac))/(2a)`

here a= 30, b =-29 and c=-7

Putting values, and finding the value of a

`a=(-(-29)\pm√((-29)^2-4(30)(-7)))/(2(30))\\a=(29\pm√(841+840))/(60)\\a=(29\pm√(1681))/(60)\\a=(29\pm41)/(60)\\a=(29+41)/(60) \,\, and \,\,a=(29-41)/(60)\\a=(70)/(60) \,\, and \,\,a=(-12)/(60)\\a=(7)/(6) \,\, and \,\,a=(-1)/(5)`

So, value of a = 7/6 and a = -1/5