which of the following illustrates a quadratic equation?
a.2x²+5x-7
b.2x-11=5x²
c.5x-2=14
d.7x_< 2x²-5
Answers
Answer:
Both (a) and (b) are quadratic equations because,
they have 2 as their power
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Given :
a.2x²+5x-7
b.2x-11=5x²
c.5x-2=14
d.7x_< 2x²-5
To Find : which one illustrates a quadratic equation
Solution:
a quadratic equation is expressed in the form
ax² + bx + c = 0
where a , b and c are real numbers , a≠ 0
2x²+5x-7
this does not have = sign so this is not an equation
this is Quadratic expression / polynomial
2x-11=5x²
0 = 5x² - 2x + 11
=> 5x² - 2x + 11 = 0
this is in the form ax² + bx + c = 0
Hence This is Quadratic Equation
5x-2=14
=> 5x - 16 = 0
there is no x² term hence not Quadratic
This is linear Equation
7x ≤ 2x²-5
2x² -7x - 5 ≥ 0
This is Quadratic inequality not an equation
Hence Correct answer is
2x-11=5x² illustrates a quadratic equation
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