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3 years ago

Step by step plz 2x^2 + x - 3

Mathematics

1 answer:

Aleks04 [339]3 years ago

7 0

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

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How many real solutions does the equation 8x^2 − 10x + 15 = 0 have?

Nimfa-mama [501]

Answer:

The correct option is (A) No real solution.

Step-by-step explanation:

The expression provided is a quadratic equation.

$8x^{2}-10x+15=0$

The roots of a quadratic equation are:

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

Here,

a = 8

b = -10

c = 15

The conditions to determine real and complex roots are:

If $b^{2}-4ac$ then the quadratic equation has two complex roots.
If $b^{2}-4ac>0$ then the quadratic equation has two real roots.

Compute the value of $b^{2}-4ac$ as follows:

$b^{2}-4ac=(-10)^{2}-(4\times 8\times15)\\\\$

$=100-480\\=-380\\$

The equation has two complex roots.

Thus, the correct option is (A).

8 0

3 years ago

If h(x) = 3 + 2f(x) , where f(1) = 3 and f '(1) = 4, find h'(1).

Leviafan [203]

H'(x) = 2f'(x)

h'(1) = 2*f'(1) = 2*4
h'(1) = 8

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4 years ago

What is 33 3/1 as a decimal and how do you change it to decimal?

Leto [7]

Decimal: 37

You leave 33 as it is since it is a whole number. Then you divide 3 ÷ 1 because the fraction is $\frac{3}{1}$ . 3 ÷ 1 = 3
33+3 = 37

#7 is your answer.

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4 years ago