Question

x (2x + 5) = 25 quadratic equations​

Answer 1

Step-by-step explanation:

x (2x + 5) = 25

2x²+5x=25

2x²+5x-25=0

BY SPLITTING THE MIDDLE TERM

2x²+10x-5x-25=0

2x(x+5)-5(x+5)=0

(2x-5)(x+5)=0

2x-5=0

2x=5

x=5/2.

x+5=0

x=-5

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Answer 2

Step-by-step explanation:

$\text{ \large \underline{ \orange{Question:-}}}$

• x (2x + 5) = 25 quadratic equations

$\text{ \large \underline{ \green{Given:-}}}$

• x (2x + 5) = 25

$\text{ \large \underline{ \pink{To Find:-}}}$

• Find the quadratic equation

$\text{ \large \underline{ \red{Solution:-}}}$

$\sf \to \: x (2x + 5) = 25 \\ \sf \to \: {2x}^{2} + 5x = 25 \\ \sf \to \: {2x}^{2} + 5x - 25 = 0 \\\sf \to \: {2x}^{2} + 10x - 5x - 25x = 0 \\ \sf \to \: 2x(x + 5) - 5(x + 5) = 0 \\ \sf \to \: (2x - 5)(x + 5) = 0 \\ \sf \to \: x \: = \frac{5}{2} \: and \: x \: = - 5$

$\text{ \large \underline{ \purple{more information:-}}}$

• A quadratic equation is an equation of the second degree.
• The standard form is ax² + bx + c = 0 .
• a, b, and c being constants, or numerical coefficients,

• x is an unknown variable.