Question

The solutions of the equation 3x²-17x+24=0

Answer 1

Given :-

The quadratic equation

$3 {x}^{2} - 17x + 24 = 0$

To find =Roots of the equation?

Solution :-

Factorise by splitting middle term

$3 {x}^{2} - 17x + 24 = 0 \\ \\ 3 {x}^{2} - 9x - 8 x+ 24 = 0 \\ \\ 3x(x - 3) - 8(x - 3) = 0 \\ \\ (x - 3)(3x - 8) = 0$

Now split it into possible cases

$(x - 3)= 0 \\ \\ (3x - 8) = 0$

Hence,

$x_1 = 3 \\ \\ x_2 = \frac{8}{3} \: \: \: ans$

Related term :-

• An equation containing a single variable of degree 2. Its general form is ax^2 + bx + c = 0, where x is the variable and a, b, and c are constants (a ≠ 0).

Answer 2

Answer:

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