Write the quadratic equation in standard form: -7x+8+2x^2=2-5x

Question

asked May 27, 2024 157k views

1 Answer

Maggie Pint · Answer 1 · 2024-06-01T16:10:04+0000

Answer:

The quadratic equation in standard form is:

$\sf \underline{ 2x^2 - 2x + 6= 0 }$

Explanation:

The quadratic equation in standard form is:

$\boxed{\sf ax^2 + bx + c = 0 }$

where

For:
$\sf -7x+8+2x^2=2-5x$

Let's solve the like terms by making right side 0.

Add 5x on both sides

$\sf -7x+8+2x^2+5x=2-5x-5x$

$\sf -2x+8+2x^2=2$

Subtract 2 on both sides

$\sf -2x+8+2x^2-2=2 -2$

$\sf -2x+6+2x^2=0$

In this equation,

$\textsf{The quadratic term is }\sf 2x^2$

$\textsf{The linear term is -2x}$

$\textsf{The constant term is 6 }$

So, the quadratic equation in standard form is:

$\sf 2x^2 - 2x + 6= 0$