What is y-intercept for the line y=8x+21

Mathematics

1 answer:

Anna71 [15]3 years ago

7 0

Change Y to 0.

y=8x+21

0=8x+21

-8x=21

$x=\frac{21}{-8\\}$

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Mariana [72]

Answer:

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Step-by-step explanation:

Given equation:

x² + 2x + 3 = 0

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

$~$

Two Distinct real roots, if b² - 4ac > 0
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$\\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\$

The discriminant is smaller than 0.

Hence, Equation has no real roots (no solution)

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Fed [463]

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Step-by-step explanation:

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Always, Sometimes, Never