MATHEMATICS
WORKSHEET -2
QUADRATIC EQUATIONS
CLASS:10
1. The roots of the equation x' + 7x + 10 =0 are
(a) 2 and 5 (b)-2 and 5 (c)-2 and -5 (d) 2 and -5
2. If the equation x + 4x + k = 0 has real and distinct roots then
(a) k <4 (b) k > 4 (c) k= 4 (d) k= - 4
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Answered by
11
Answer:
dude I think the first question is wrong because u can determine the roots based on power or degree of equation
Step-by-step explanation:
hey here u go for rest of it
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1. The roots of the equation x²+ 7x + 10 =0 are
(a) 2 and 5 (b)-2 and 5 (c)-2 and -5 (d) 2 and -5
2. If the equation x² + 4x + k = 0 has real and distinct roots then
(a) k <4 (b) k > 4 (c) k= 4 (d) k= - 4
For a Quadratic equation of the form
ax²+bx+c= 0 , the expression b²-4ac is called the discriminant.
Nature of roots
The roots of a quadratic equation can be of three types.
- If D>0, the equation has two distinct real roots.
- If D=0, the equation has two equal real roots.
- If D<0, the equation has no real roots.
Part -I
Let the given quadratic equation be f(x) ⇒ f(x)= x²+ 7x + 10
We have to find roots of given equation
Part -II
Given : The equation x² + 4x + k = 0 has real and distinct roots.
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