Select all the correct answers. the square of a number is 3 less than four times the number. which values could be the number?

Answers

The given expression “the square of a number is 3 less than four times the number” is represented as x² = 3 – 4x and the values of number could be: x1= 0.645 , x2= -4.645

In mathematics, when we refer “square of a number” we mean that the exponent of that number is 2. So we express it mathematically as:

x²

When we express “3 less than” of a number we mean that the number 3 is subtracting that number. So we express it mathematically as: 3 –

x² = 3 –

When we express “four times the number” we mean that the number is exactly 4 times greater than a number or that it contains it 4times. So we express it mathematically as: 4x

x² = 3 – 4x

Organizing the values, we have a quadratic equation: x² + 4x – 3 = 0

Where:

a= 1

b= 4

c= -3

Solving the quadratic question we get the values for the (x) number

x= {- b ± √ [b² – (4* a*c)]} / (2 *a)

x= {- 4 ± √ [4² – (4* 1*-3)]} / (2 * 1)

x= {- 4 ± √ (16 + 12)} / 2

x= {- 4± √ 28} / 2

x= (- 4 ± 5.29 ) / 2

x1= (- 4 + 5.29 ) / 2

x1= (1,29) / 2

x1= 0.645

x2= (- 4 – 5.29 ) / 2

x2= (9.29) / 2

x2= -4.645

We can check the values, replacing them into the equation:

(x1)² = 3 – 4(x1)

(0.645)² = 3 – 4*(0.645)

0.42 = 0.42

(x2)² = 3 – 4(x2)

(-4.645)² = 3 – 4*(-4.645)

21.58 = 21.58

What is a quadratic equation?

It is an algebraic equation where the polynomial formed has three terms, one variable has an exponent 2, another in which the variable has exponent 1 and the last term without any variable. Its standard form is:

ax²+ bx + c = 0

Learn more about quadratic equation at: brainly.com/question/25841119 and brainly.com/question/7784687

expression“the square of a number is 3 less than four times the number” is represented asx² = 3 – 4xand thevaluesof number could be:x1= 0.645,x2= -4.645mathematics, when we refer “squareof a number” we mean that theexponentof that number is 2. So we express it mathematically as:lessthan” of a number we mean that the number 3 issubtractingthat number. So we express it mathematically as: 3 –four timesthe number” we mean that the number is exactly 4 times greater than a number or that itcontainsit4times. So we express it mathematically as: 4xquadratic equation: x² + 4x – 3 = 0quadratic questionwe get thevaluesfor the (x) numberx1= 0.645x2= -4.645checkthe values,replacingthem into the equation:0.42 = 0.4221.58 = 21.58## What is a quadratic equation?

polynomialformed has three terms, onevariablehas an exponent 2, another in which the variable hasexponent1 and the last term without any variable. Itsstandardform is:quadratic equationat: brainly.com/question/25841119 and brainly.com/question/7784687