Solve the equation. 7x = 3x^2 - 1

Step-by-step explanation:

The standard form of a quadratic equation is expressed as

ax² + bx + c = 0

The given quadratic equation is expressed as

7x = 3x² - 1

Rearranging it so that it will be in the standard form, it becomes

3x² - 7x - 1 = 0

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 3

b = - 7

c = - 1

Therefore,

x = [- - 7 ± √(- 7² - 4 × 3 × - 1)]/2 × 3

x = [7 ± √(49 - - 12)]/6

x = [7 ± √61]/6

x = (7 + √61)/6 or x = (7 - √61)/6

x = (7 + 7.81)/6 or (7 - 7.81)/6

x = 2.468 or x = - 0.135

X = 7.41 OR -0.81

Step-by-step explanation:

If the equation is 7x = 3x² - 1?.

We can rearrange it to give us a quadratic equation.

3x² - 7x - 1 = 0

Sum of roots = -7x

Product of roots = -3x

Obviously, no two numbers will give us -7 and -3 as it's sum and Product.

Let's employ, the formula method.

X = (-b ± √ b² - 4ac ) / 2a

a = 3

b= -7

c= -1

X = -(-7) ± √ -7² - 4*3*-1 / 2*3

X = (7 ± √ 49 + 12) / 6

X = (7 ± √ 61 ) / 6

X = (7 ± 7.81 ) / 2

X = (7+7.81)/2. OR. (7 - 7.81) / 2

X = 14.81 / 2. OR. -0.81 / 2

X = 7.41 OR -0.41

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

segment bisector

step-by-step explanation:

line segment bisector. definition: a line, ray or segment which cuts another line segment into two equal parts. try this drag one of the orange dots at a or b and note the the line ab always divides the line pq into two equal parts.

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