c ^ 2 3c 10=0 ⇒ c ^ 2 2. 3 2 .c+( 3 2 #160; ) #160; ^ 2 ( 3 2 #160; ) #160; ^ 2 10=0 ⇒( c 3 2 #160; ) #160; ^ 2 = 49 4 ...

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Solving a Quadratic Equation by Completion of Squares Method

Solve: c2-3c...

Question

Solve: $c^{2} - 3 c - 10 = 0$

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Solution

$c^{2} - 3 c - 10 = 0 \Rightarrow c^{2} - 2. \frac{3}{2} . c + {(\frac{3}{2})}^{2} - {(\frac{3}{2})}^{2} - 10 = 0 \Rightarrow {(c - \frac{3}{2})}^{2} = \frac{49}{4} \Rightarrow c - \frac{3}{2} = \pm \sqrt{\frac{49}{4}} \Rightarrow c = (\frac{3}{2} + \frac{7}{2}) a n d (\frac{3}{2} - \frac{7}{2}) \Rightarrow c = 5 a n d - 2$

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Similar questions

∠ A = 60 °

c^{2} - 3 c - 7 = 0

c^{2} + 3 c + 7 = 0

c^{2} - 3 c + 7 = 0

c^{2} + 3 c - 7 = 0

Mark the correct alternative in each of the following :

$In a triangle A B C, a = 4, b = 3, ∠ A = 60^{\circ} then c is a root of the equation$

Solve the two equations using method of elimination.

$a_{1} x + b_{1} y + c_{1} = 0$
$a_{2} x + b_{2} y + c_{2} = 0$

c > 0

y = x^{2} - c^{2}

y = c^{2} - x^{2}

λ

∣ ∣ ∣ ∣ ∣ \begin{matrix} a^{2} + λ & a b & a c a b & b^{2} + λ & b c a c & b c & c^{2} + λ \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

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