Question

Decide whether the equation p2
(3+6p)=-5 is a quadratic equation. Justify your answer

Answer 1

Answer:

– A quadratic equation is in the form ax2 +bx +c =0

– To find the nature of roots, first find determinant “D”

– D = b2 – 4ac

– If D > 0, equation has real and distinct roots

– If D < 0, equation has no real roots

– If D = 0, equation has 1 root

(i) 2x2 -3x + 5 =0

Solution:

Here, a= 2, b= -3, c= 5

D = b2 – 4ac

= (-3)2 -4(2)(5)

= 9 – 40

= -31<0

It’s seen that D<0 and hence, the given equation does not have any real roots.

Step-by-step explanation:

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