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2 years ago

જ્યારે જહાંગીરની ઉંમર 18 વર્ષ થશે ત્યારે અકબરની ઉંમર 50 વર્ષ થર્શ.

Mathematics

1 answer:

IgorC [24]2 years ago

6 0

Answer:

C: 44

Step-by-step explanation:

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<u>Given</u>:

The given equation is $x^{2} -3x-7=0$

We need to determine the exact solutions of the equation.

<u>Exact solution:</u>

The exact solution of the equation can be determined by solving the equation using quadratic formula,

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}$

$x=\frac{3 \pm \sqrt{9+28}}{2}$

$x=\frac{3 \pm \sqrt{37}}{2}$

Thus, the exact solutions of the given equation is $x=\frac{3 \pm \sqrt{37}}{2}$

Hence, Option A is the correct answer.

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3 years ago

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3 years ago

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3 years ago

Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180

Oduvanchick [21]

<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$4 + 2 sin(x)= 14-8 sin(x)$

<h3>2. Subtract "4" from both sides of the equation.</h3>

$-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)$

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

$2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10$

<h3>4. Divide both sides by 10.</h3>

$\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1$

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

$arcsin(sin(x))=arcsin(1)\\ \\x=90$

<h3>6. Conclude.</h3>

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