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Home » Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.
Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.
CBSE | Class 10 | Exercise 4.3 | Quadratic Equations
Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.

\left( \mathbf{iii} \right)\text{ }\mathbf{4}{{\mathbf{x}}^{\mathbf{2}}}~+~\mathbf{4}\surd \mathbf{3x}~+\text{ }\mathbf{3}\text{ }=\text{ }\mathbf{0}

On comparing the given equation with ax2 + bx + c = 0, we get

a~=~4,~b~=~4\surd 3~and~c\text{ }=\text{ }3

By using quadratic formula, we get,

Ncert solutions class 10 chapter 4-4

\Rightarrow ~x~=\text{ }-4\surd 3\pm \surd 48-48/8

\Rightarrow ~x~=\text{ }-4\surd 3\pm 0/8

\therefore ~x~=\text{ }-\surd 3/2\text{ }or~x~=\text{ }-\surd 3/2

 

\left( \mathbf{iv} \right)~\mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}~+~\mathbf{x}~+\text{ }\mathbf{4}\text{ }=\text{ }\mathbf{0}

On comparing the given equation with ax2 + bx + c = 0, we get,

a~=\text{ }2,~b~=\text{ }1\text{ }and~c~=\text{ }4

By using quadratic formula, we get

Ncert solutions class 10 chapter 4-2

\Rightarrow ~x~=\text{ }-1\pm \surd 1-32/4

\Rightarrow ~x~=\text{ }-1\pm \surd -31/4

As we know, the square of a number can never be negative. Therefore, there is no real solution for the given equation.

i

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