3 years ago

(6x2 + x - 3)(2x2 +1)

Mathematics

1 answer:

EleoNora [17]3 years ago

6 0

Answer:

Step-by-step explanation: I'm not sue if the x's are squared so i didn't squared them but i got : 23x³-6x²

+13x-3

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Step-by-step explanation:

sin 30+tan²(60)+sec²(45)

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3 years ago

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}

HACTEHA [7]

ANSWER
$x = - 11\: or \: x = 3$

EXPLANATION

The quadratic equation given to us is

${x}^{2} + 8x = 33$

We add half the square of the coefficient of
$x$
to both sides of the equation to obtain,

${x}^{2} + 8x + {(4)}^{2} = 33 + {(4)}^{2}$

This implies that,
${x}^{2} + 8x + {(4)}^{2} = 33 + 16$

The right hand side simplifies to

${x}^{2} + 8x + {(4)}^{2} = 49$

The left hand side is a perfect square.

This gives us

${(x + 4)}^{2} = 49$

We take the square root of both sides

$x + 4 = \pm \sqrt{49}$

This evaluates to

$x + 4 = \pm 7$

We make x the subject.

$x = - 4\pm 7$

We now split the square root sign to get

.

$x = - 4 - 7 \: or \: x = - 4 + 7$

$x = - 11\: or \: x = 3$

The correct answer is A.

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3 years ago