Solve using quadratic equations

Mathematics

1 answer:

olasank [31]4 years ago

7 0

4x² - 9x² + 5 = 0
4x² - 4x - 5x + 5 = 0
4x(x - 1) - 5(x - 1) = 0
(4x - 5)(x - 1) = 0

Set each binomial equal to zero.

4x - 5 = 0
4x = 0 + 5
4x = 5
x = 5/4

x - 1 = 0
x = 0 + 1
x = 1

Your solutions are x = 1, 5/4

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Please simplify picture attached

Mekhanik [1.2K]

Answer:

It is the first bubble.

Step-by-step explanation:

multiply the fraction $\frac{\sqrt{5} }{\sqrt{} 5}$

multiply the numerators and denominators seperatly

calculate the product

multiply the numbers

solution

3 0

3 years ago

Read 2 more answers

OX and OY are two straight lines which intersect at an acute angle of 60°. OX = 4.5cm and OY = 5cm . The point M is on OX such t

Neko [114]

Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY

<h3>What is an Angle Bisector ?</h3>

The ray that bisects the angle into half is called Angle Bisector.

It is given that ∠XOY = 60 degree

the length of OX = 4.5 cm

OY =5 cm

The point M is on OX such that

OM = 2 MX

so The M is at 3 cm from O

The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M

According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.

As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at

By Pythagoras Theorem

3² +3² = OP²

OP = 2 $\sqrt{3}$ = 3.46 cm from O