3x²-17x=-8?

Question

resolve

Answer 1

3x²-17x=-8
3x² - 17x + 8 = 0
3x² - 12x - 2x + 8 = 0
3x(x - 4) - 2(x-4)
(3x - 2)(x-4) = 0
Either 3x - 2 = 0
or x - 4 = 0
Put 3x - 2 = 0
3x = 2
x = 2/3
Put x - 4 = 0
x = 4
So x can be 4 or 2/3
The equation has two solutions

Answer 2

first, you have to bring the -8 to the LHS of the equation, so the equation is:

3x²-17x +8 = 0

then you apply the quadratic formula, where a = 3, b = -17, c = 8
once you get your answer you can simplify it further..but that depends on whether you've learnt complex numbers or not.

Answer 3

First put it in the standard form for a quadratic equation

3x²-17x+8 = 0

There is no nice factorization. You must use the quadratic formula:

x = [-b +/- sqrt(b² - 4ac) ] / 2a

for

ax² + bx + c = 0.

Answer 4

3x²-17x=-8
=>3x²-17x+8=0
solving using general formula:
=>x=[17(+-)sqrt(289-96)]/6
=>x=[17(+-)sqrt(193)]/6

Answer 5

3x² -17x +8 =0

x1=(17+√194)/6
x2=(17-√194)/6