Question

For the quadratic equation x² + 10 x - 7 = 0, the values of a , b , c are *


For the quadratic equation x² + 10 x - 7 = 0, the values of a , b , c are *

1 point




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Answer 1

Answer:

Step-by-step explanation:

ax2+bx+c = 0

Where a, b, c are numbers and a≥1.

a, b are called the coefficients of x2 and x respectively and c is called the constant.

The following are examples of some quadratic equations:

1) x2+5x+6 = 0 where a=1, b=5 and c=6.

2) x2+2x-3 = 0 where a=1, b=2 and c= -3

3) 3x2+2x = 1

→ 3x2+2x-1 = 0 where a=3, b=2 and c= -1

4) 9x2 = 4

→ 9x2-4 = 0 where a=9, b=0 and c= -4

For every quadratic equation, there can be one or more than one solution. These are called the roots of the quadratic equation.

For a quadratic equation ax2+bx+c = 0,

the sum of its roots = –b/a and the product of its roots = c/a.

A quadratic equation may be expressed as a product of two binomials.

For example, consider the following equation

x2-(a+b)x+ab = 0

x2-ax-bx+ab = 0

x(x-a)-b(x-a) = 0

(x-a)(x-b) = 0

x-a = 0 or x-b = 0

x = a or x=b

Answer 2

$\orange{x^2 + 10x - 7 = 0}$

Here,

$\blue{a => 1}$

$\blue{b => 10}$

$\blue{c => -7}$