Question

solve (x+3) (x-2)=0
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Answer 1

Answer:

x = -2 or x = 3

Step-by-step explanation:

$=> (x+3) (x-2) = 0$

$=> x(x-2) + 3(x-2) = 0$

$=>x^{2} -2x+3x-6$

$=> x^{2} +x-6 =0$

Using the equation x = (-b±(√b²-4ac))/2a

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

$=> x^{2} + x -6 = 0$

a = 1

b = 1

c = -6

Substituting the values,

x = (-1±(√1²-4×1×-6))/2×1

On evaluating, we get,

x = (-1±5)/2

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

$=>x = \frac{-1+5}{2} = 2$

$=> x = \frac{-1-5}{2} = -3$

Answer 2

Answer:

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