Question

2x²-5x-6=o solve it​

Answer 1

Write the nature of the roots quadratic equation 2x²-5x+6=0?

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Roots( £,β) of any quadratic equation ax² + bx + c = 0 can be found out by …..

£,β = {-b+,- √( b² - 4ac)} / 2a , where a,b,c are real numbers

So, Nature of the roots £,β of any quadratic equation, depends on the expression (b² -4ac) , ie, this expression discriminates the roots of the quadratic equation.

So, we call it Discriminant ( D) = b² - 4ac

So, ‘D’ of 2x² - 5x + 6 =0

= 25 - 48 = - 23

Since it is negative, or D < 0

So, the equation has IMAGINARY & UNEQUAL roots

& roots £,β are a pair of COMPLEX CONJUGATES

Answer 2

Answer:The answer is 5.5.

Step-by-step explanation:

2x^2-5x-6=0

2x^2-5x=6+0

2x^2-5x=6

2x^2=6+5x

2x^2/x=6+5

2x=11

x=11/2

=5.5...