What is the standard form of the equation −27=−10x−7x^2?
PLEASE HELP!!!
Well, let's start by rearranging the terms. We can rewrite the equation as -7x^2 - 10x - 27 = 0. Ah, so this is a quadratic equation! It's like math trying to make a little fun by throwing some x's and numbers together. Now we just need to put it in standard form. Let's rearrange the terms again in descending order of degree, so it becomes -7x^2 - 10x - 27 = 0. Ta-da! That's the quadratic equation in standard form. Keep in mind, math may be serious, but solving it should still bring a smile to your face!
To determine the standard form of the equation −27=−10x−7x^2, we need to rearrange the terms so that the equation is in the form "ax^2 + bx + c = 0". Here's how you can do that:
1. Start by moving all the terms to the left side of the equation to set it equal to zero: −7x^2 - 10x + 27 = 0.
2. Next, rearrange the equation so that the terms are in descending order of powers of x: −7x^2 - 10x + 27 = 0 becomes −7x^2 - 10x + 27 = 0.
3. Finally, rewrite the equation in standard form by multiplying through by -1 to ensure that the coefficient of the x^2 term is positive: 7x^2 + 10x - 27 = 0.
Therefore, the standard form of the equation −27 = −10x − 7x^2 is 7x^2 + 10x - 27 = 0.
standard form is ax^2+bx+c = 0. So, rearrange things and you have
7x^2 + 10x - 27 = 0
Better review the topic, as this was really quite easy.
The standard form of a quadratic equation :
a x² + b x + c = 0
27 = - 10 x - 7 x²
Subtract 27 to both sides
0 = - 10 x - 7 x² - 27
Since zero multiplied by any number is also zero, you can multiply both sides by - 1.
7 x² + 10 x + 27 = 0